{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ZrwVQsM9TiUw"
      },
      "source": [
        "##### Copyright 2019 The TensorFlow Probability Authors.\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "cellView": "form",
        "colab": {},
        "colab_type": "code",
        "id": "CpDUTVKYTowI"
      },
      "outputs": [],
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\"); { display-mode: \"form\" }\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ltPJCG6pAUoc"
      },
      "source": [
        "# A Tour of TensorFlow Probability\n",
        "\n",
        "\u003ctable class=\"tfo-notebook-buttons\" align=\"left\"\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca target=\"_blank\" href=\"https://www.tensorflow.org/probability/examples/A_Tour_of_TensorFlow_Probability\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/tf_logo_32px.png\" /\u003eView on TensorFlow.org\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca target=\"_blank\" href=\"https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/A_Tour_of_TensorFlow_Probability.ipynb\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/colab_logo_32px.png\" /\u003eRun in Google Colab\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca target=\"_blank\" href=\"https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/A_Tour_of_TensorFlow_Probability.ipynb\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/GitHub-Mark-32px.png\" /\u003eView source on GitHub\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "  \u003ctd\u003e\n",
        "    \u003ca href=\"https://storage.googleapis.com/tensorflow_docs/probability/tensorflow_probability/examples/jupyter_notebooks/A_Tour_of_TensorFlow_Probability.ipynb\"\u003e\u003cimg src=\"https://www.tensorflow.org/images/download_logo_32px.png\" /\u003eDownload notebook\u003c/a\u003e\n",
        "  \u003c/td\u003e\n",
        "\u003c/table\u003e"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "WRVR-tGTR31S"
      },
      "source": [
        "In this Colab, we explore some of the fundamental features of TensorFlow Probability. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "uiR4-VOt9NFX"
      },
      "source": [
        "### Dependencies & Prerequisites\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "9clSiUTiT3G1",
        "outputId": "63c64818-5234-475e-d248-f696e8c01ceb"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "/bin/sh: pip: command not found\n"
          ]
        }
      ],
      "source": [
        "!pip install -q --upgrade seaborn"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "5UYdUIGU5KJ6"
      },
      "outputs": [],
      "source": [
        "#@title Import { display-mode: \"form\" }\n",
        "\n",
        "\n",
        "from pprint import pprint\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "\n",
        "import tensorflow.compat.v2 as tf\n",
        "tf.enable_v2_behavior()\n",
        "\n",
        "import tensorflow_probability as tfp\n",
        "\n",
        "sns.reset_defaults()\n",
        "sns.set_context(context='talk',font_scale=0.7)\n",
        "plt.rcParams['image.cmap'] = 'viridis'\n",
        "\n",
        "%matplotlib inline\n",
        "\n",
        "tfd = tfp.distributions\n",
        "tfb = tfp.bijectors"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "di_gCffY43PT"
      },
      "outputs": [],
      "source": [
        "#@title Utils { display-mode: \"form\" }\n",
        "def print_subclasses_from_module(module, base_class, maxwidth=80):\n",
        "  import functools, inspect, sys\n",
        "  subclasses = [name for name, obj in inspect.getmembers(module)\n",
        "                if inspect.isclass(obj) and issubclass(obj, base_class)]\n",
        "  def red(acc, x):\n",
        "    if not acc or len(acc[-1]) + len(x) + 2 \u003e maxwidth:\n",
        "      acc.append(x)\n",
        "    else:\n",
        "      acc[-1] += \", \" + x\n",
        "    return acc\n",
        "  print('\\n'.join(functools.reduce(red, subclasses, [])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ZLkia-fRu6Qh"
      },
      "source": [
        "## Outline\n",
        "\n",
        "* TensorFlow\n",
        "* TensorFlow Probability\n",
        "  * Distributions\n",
        "  * Bijectors\n",
        "  * MCMC\n",
        "  * ...and more!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "3GMqBNxpp5Jk"
      },
      "source": [
        "## Preamble: TensorFlow\n",
        "\n",
        "\n",
        "TensorFlow is a scientific computing library.\n",
        "\n",
        "---\n",
        "\n",
        "It supports\n",
        "  * lots of mathematical operations\n",
        "  * efficient vectorized computation\n",
        "  * easy hardware acceleration\n",
        "  * automatic differentiation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "rC_qZlx10LQF"
      },
      "source": [
        "### Vectorization\n",
        "\n",
        "  * Vectorization makes things fast!\n",
        "  * It also means we think a lot about shapes"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "V2t6mr5Wp4Qp",
        "outputId": "810ba4f9-073f-473a-a96a-8e55c9ba6dbd"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1 loops, best of 3: 2.49 s per loop\n",
            "1000 loops, best of 3: 836 µs per loop\n"
          ]
        }
      ],
      "source": [
        "mats = tf.random.uniform(shape=[1000, 10, 10])\n",
        "vecs = tf.random.uniform(shape=[1000, 10, 1])\n",
        "\n",
        "def for_loop_solve():\n",
        "  return np.array(\n",
        "    [tf.linalg.solve(mats[i, ...], vecs[i, ...]) for i in range(1000)])\n",
        "\n",
        "def vectorized_solve():\n",
        "  return tf.linalg.solve(mats, vecs)\n",
        "\n",
        "# Vectorization for the win!\n",
        "%timeit for_loop_solve()\n",
        "%timeit vectorized_solve()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "0i0EJp2i0Nfa"
      },
      "source": [
        "### Hardware Acceleration"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "HZR6I98GtY3B",
        "outputId": "5cfc1828-eae9-4f63-b105-fa9284957d00"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Using a CPU\n"
          ]
        }
      ],
      "source": [
        "# Code can run seamlessly on a GPU, just change Colab runtime type\n",
        "# in the 'Runtime' menu.\n",
        "if tf.test.gpu_device_name() == '/device:GPU:0':\n",
        "  print(\"Using a GPU\")\n",
        "else:\n",
        "  print(\"Using a CPU\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "5rfAomye0QGb"
      },
      "source": [
        "### Automatic Differentiation"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "NCLkCcWpuKKh",
        "outputId": "0f9d761c-3326-4aef-cda1-33603c0099f9"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor(3.1415927, shape=(), dtype=float32)\n",
            "tf.Tensor(2.7182817, shape=(), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "a = tf.constant(np.pi)\n",
        "b = tf.constant(np.e)\n",
        "with tf.GradientTape() as tape:\n",
        "  tape.watch([a, b])\n",
        "  c = .5 * (a**2 + b**2)\n",
        "grads = tape.gradient(c, [a, b])\n",
        "print(grads[0])\n",
        "print(grads[1])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "tS9F_zwnxe8c"
      },
      "source": [
        "## TensorFlow Probability\n",
        "\n",
        "*TensorFlow Probability is a library for probabilistic reasoning and statistical analysis in TensorFlow.*\n",
        "\n",
        "We support *modeling*, *inference*, and *criticism* through composition of low-level modular components.\n",
        "\n",
        "### Low-level building blocks\n",
        "  * Distributions\n",
        "  * Bijectors\n",
        "\n",
        "### High(er)-level constructs\n",
        "  * Markov chain Monte Carlo\n",
        "  * Probabilistic Layers\n",
        "  * Structural Time Series\n",
        "  * Generalized Linear Models\n",
        "  * Edward2\n",
        "  * Optimizers"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "3a-IYDxm5aXg"
      },
      "source": [
        "## Distributions\n",
        "A `tfp.distributions.Distribution` is a class with two core methods: `sample` and `log_prob`.\n",
        "\n",
        "TFP has a lot of distributions!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "colab": {
          "height": 397
        },
        "colab_type": "code",
        "id": "9MEFOWRX2InJ",
        "outputId": "1b9c85b8-5a48-4f3a-fd57-8e4c9410c158"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Autoregressive, BatchReshape, Bernoulli, Beta, BetaBinomial, Binomial, Blockwise\n",
            "Categorical, Cauchy, Chi, Chi2, CholeskyLKJ, ContinuousBernoulli, Deterministic\n",
            "Dirichlet, DirichletMultinomial, Distribution, DoublesidedMaxwell, Empirical\n",
            "ExpRelaxedOneHotCategorical, Exponential, FiniteDiscrete, Gamma, GammaGamma\n",
            "GaussianProcess, GaussianProcessRegressionModel, GeneralizedPareto, Geometric\n",
            "Gumbel, HalfCauchy, HalfNormal, HalfStudentT, HiddenMarkovModel, Horseshoe\n",
            "Independent, InverseGamma, InverseGaussian, JointDistribution\n",
            "JointDistributionCoroutine, JointDistributionCoroutineAutoBatched\n",
            "JointDistributionNamed, JointDistributionNamedAutoBatched\n",
            "JointDistributionSequential, JointDistributionSequentialAutoBatched, Kumaraswamy\n",
            "LKJ, Laplace, LinearGaussianStateSpaceModel, LogNormal, Logistic, LogitNormal\n",
            "Mixture, MixtureSameFamily, Multinomial, MultivariateNormalDiag\n",
            "MultivariateNormalDiagPlusLowRank, MultivariateNormalFullCovariance\n",
            "MultivariateNormalLinearOperator, MultivariateNormalTriL\n",
            "MultivariateStudentTLinearOperator, NegativeBinomial, Normal, OneHotCategorical\n",
            "OrderedLogistic, PERT, Pareto, PixelCNN, PlackettLuce, Poisson\n",
            "PoissonLogNormalQuadratureCompound, ProbitBernoulli, QuantizedDistribution\n",
            "RelaxedBernoulli, RelaxedOneHotCategorical, Sample, SinhArcsinh, StudentT\n",
            "StudentTProcess, TransformedDistribution, Triangular, TruncatedNormal, Uniform\n",
            "VariationalGaussianProcess, VectorDeterministic, VectorDiffeomixture\n",
            "VectorExponentialDiag, VonMises, VonMisesFisher, WishartLinearOperator\n",
            "WishartTriL, Zipf\n"
          ]
        }
      ],
      "source": [
        "print_subclasses_from_module(tfp.distributions, tfp.distributions.Distribution)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "JoRByxnrir-u"
      },
      "source": [
        "### A simple scalar-variate `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "nPh4HEwuCnRr",
        "outputId": "58ebed16-a0aa-4ed0-9cc5-a87ee4e98b9a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tfp.distributions.Normal(\"Normal\", batch_shape=[], event_shape=[], dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# A standard normal\n",
        "normal = tfd.Normal(loc=0., scale=1.)\n",
        "print(normal)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "height": 290
        },
        "colab_type": "code",
        "id": "tIylCtMDCwnl",
        "outputId": "9bb824b0-f50b-46fd-af42-0f05fbe040c3"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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WSqVITk7GqlWrYDQasXXrVjDGMHny5BblHnnkEVy5cgU5OTnIycnBSy+9hJ/+9KfOju35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\ngg==\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Plot 1000 samples from a standard normal\n",
        "samples = normal.sample(1000)\n",
        "sns.distplot(samples)\n",
        "plt.title(\"Samples from a standard Normal\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "Wyn6XnmSh_iI",
        "outputId": "b2786ef8-52d4-4058-cedd-baa40f1df003"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "\u003ctf.Tensor: shape=(), dtype=float32, numpy=-0.9189385\u003e"
            ]
          },
          "execution_count": 11,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Compute the log_prob of a point in the event space of `normal`\n",
        "normal.log_prob(0.)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "q67IaJ-qie1u",
        "outputId": "2ba71005-95b6-4b0e-9a9b-09a286c86102"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "\u003ctf.Tensor: shape=(3,), dtype=float32, numpy=array([-1.4189385, -0.9189385, -1.4189385], dtype=float32)\u003e"
            ]
          },
          "execution_count": 12,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Compute the log_prob of a few points\n",
        "normal.log_prob([-1., 0., 1.])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "ikAl1XxmI5Ek"
      },
      "source": [
        "### Distributions and Shapes\n",
        "\n",
        "Numpy `ndarrays` and TensorFlow `Tensors` have *shapes*.\n",
        "\n",
        "TensorFlow Probability `Distributions` have *shape semantics* -- we partition shapes into semantically distinct pieces, even though the same chunk of memory (`Tensor`/`ndarray`) is used for the whole everything.\n",
        "\n",
        "  * **Batch shape** denotes a *collection* of `Distribution`s with distinct parameters\n",
        "  * **Event shape** denotes the shape of *samples* from the `Distribution`.\n",
        "\n",
        "We always put batch shapes on the \"left\" and event shapes on the \"right\"."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Bt7D7EgrEdYo"
      },
      "source": [
        "### A *batch* of scalar-variate `Distributions`\n",
        "\n",
        "Batches are like \"vectorized\" distributions: independent instances whose computations happen in parallel."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "vfY1B4GqDDJo",
        "outputId": "66f6e8a4-3e25-4447-9a41-0e37b351d593"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: (3,)\n",
            "Event shape: ()\n"
          ]
        }
      ],
      "source": [
        "# Create a batch of 3 normals, and plot 1000 samples from each\n",
        "normals = tfd.Normal([-2.5, 0., 2.5], 1.)  # The scale parameter broadacasts!\n",
        "print(\"Batch shape:\", normals.batch_shape)\n",
        "print(\"Event shape:\", normals.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "iNzTGgKqE5CT",
        "outputId": "91a70a26-b564-43f4-a026-3635c9d95a99"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shape of samples: (1000, 3)\n"
          ]
        }
      ],
      "source": [
        "# Samples' shapes go on the left!\n",
        "samples = normals.sample(1000)\n",
        "print(\"Shape of samples:\", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "hIRbVOS7OP-g",
        "outputId": "1485c8aa-8df4-40f1-9929-356bd45dd0c7"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shape of samples: (10, 10, 10, 3)\n"
          ]
        }
      ],
      "source": [
        "# Sample shapes can themselves be more complicated\n",
        "print(\"Shape of samples:\", normals.sample([10, 10, 10]).shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "nqXQ6DEDFsLU",
        "outputId": "353fcc22-1ef4-4643-bd4d-ee98d3a2c491"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor([-0.9189385 -0.9189385 -0.9189385], shape=(3,), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# A batch of normals gives a batch of log_probs.\n",
        "print(normals.log_prob([-2.5, 0., 2.5]))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "W1uSOXO8GQB4",
        "outputId": "a0299f6e-1770-4cbc-d9ec-3d1e71085bcc"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor([-4.0439386 -0.9189385 -4.0439386], shape=(3,), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# The computation broadcasts, so a batch of normals applied to a scalar\n",
        "# also gives a batch of log_probs.\n",
        "print(normals.log_prob(0.))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "nxAGVtnPGkQ4",
        "outputId": "8e8625f8-ad7f-4d0b-f906-95769e15e4c5"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "TFP error: Incompatible shapes: [200] vs. [3] [Op:SquaredDifference]\n"
          ]
        }
      ],
      "source": [
        "# Normal numpy-like broadcasting rules apply!\n",
        "xs = np.linspace(-6, 6, 200)\n",
        "try:\n",
        "  normals.log_prob(xs)\n",
        "except Exception as e:\n",
        "  print(\"TFP error:\", e.message)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "ieF2lRhPHxgd",
        "outputId": "eec6d33f-6f69-4f04-a9fa-1b3abb1f6b80"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Numpy error: operands could not be broadcast together with shapes (200,) (3,) \n"
          ]
        }
      ],
      "source": [
        "# That fails for the same reason this does:\n",
        "try:\n",
        "  np.zeros(200) + np.zeros(3)\n",
        "except Exception as e:\n",
        "  print(\"Numpy error:\", e)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "nS9qPHdeH0gz",
        "outputId": "7015ba71-7e28-46ec-db1f-047ed5fdf03b"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Broadcast shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# But this would work:\n",
        "a = np.zeros([200, 1]) + np.zeros(3)\n",
        "print(\"Broadcast shape:\", a.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "9w64N4YQH2r5",
        "outputId": "1851954a-7ecf-42c4-b7bd-7d155ff56d45"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Broadcast log_prob shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# And so will this!\n",
        "xs = np.linspace(-6, 6, 200)[..., np.newaxis]\n",
        "# =\u003e shape = [200, 1]\n",
        "\n",
        "lps = normals.log_prob(xs)\n",
        "print(\"Broadcast log_prob shape:\", lps.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "colab": {
          "height": 290
        },
        "colab_type": "code",
        "id": "rfsG1F0FFAWS",
        "outputId": "08f4e256-68de-49f0-959d-3b145d1143fb"
      },
      "outputs": [
        {
          "data": {
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Tm4EyGYlEws1lyBUXEisKdXV1KSlYm4naiRtjLJ5Av9OdtvPMl8h4BK4hpi7D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\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Summarizing visually\n",
        "for i in range(3):\n",
        "  sns.distplot(samples[:, i], kde=False, norm_hist=True)\n",
        "plt.plot(np.tile(xs, 3), normals.prob(xs), c='k', alpha=.5)\n",
        "plt.title(\"Samples from 3 Normals, and their PDF's\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "E05ut7jxix6C"
      },
      "source": [
        "### A vector-variate `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "2zEm7UpFi2S_",
        "outputId": "3d5a0c64-af56-4b4b-bc20-1e2032cb50f0"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: ()\n",
            "Event shape: (2,)\n"
          ]
        }
      ],
      "source": [
        "mvn = tfd.MultivariateNormalDiag(loc=[0., 0.], scale_diag = [1., 1.])\n",
        "print(\"Batch shape:\", mvn.batch_shape)\n",
        "print(\"Event shape:\", mvn.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "YfT5qzyRjGfg",
        "outputId": "1be970c4-3337-4e18-b7a0-1eff0cc6b297"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Samples shape: (1000, 2)\n"
          ]
        }
      ],
      "source": [
        "samples = mvn.sample(1000)\n",
        "print(\"Samples shape:\", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {
        "colab": {
          "height": 446
        },
        "colab_type": "code",
        "id": "eKdi0DDqjRiA",
        "outputId": "f3ffa337-cd8f-44cd-f96a-b4d08592a0b9"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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roFp8RA/DgtSYMWPw3HPP4Sc/+YlRT0lkSO3xCEFCjUgUqsonNYW7UNsQRLBL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\nHCkiIrIWR4qIiKzFkSIiImt9AHfod0IxFU05AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 600x600 with 3 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "g = sns.jointplot(samples[:, 0], samples[:, 1], kind='scatter')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Hh53LM89PQei"
      },
      "source": [
        "### A matrix-variate `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "fHOIJipjItGG",
        "outputId": "12c0861c-87b4-400b-adec-b0b88c2e9e50"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape:  (2,)\n",
            "Event shape:  (10, 10)\n"
          ]
        }
      ],
      "source": [
        "lkj = tfd.LKJ(dimension=10, concentration=[1.5, 3.0])\n",
        "print(\"Batch shape: \", lkj.batch_shape)\n",
        "print(\"Event shape: \", lkj.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "NkOqJiT6PcOT",
        "outputId": "08e1630a-812a-484b-a8c7-d52cea22e7f6"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Samples shape:  (2, 10, 10)\n"
          ]
        }
      ],
      "source": [
        "samples = lkj.sample()\n",
        "print(\"Samples shape: \", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {
        "colab": {
          "height": 230
        },
        "colab_type": "code",
        "id": "BYvY7_2xPecj",
        "outputId": "daa9e1be-6260-4c50-d45f-140f9cc096d5"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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            "text/plain": [
              "\u003cFigure size 600x300 with 2 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(6, 3))\n",
        "sns.heatmap(samples[0, ...], ax=axes[0], cbar=False)\n",
        "sns.heatmap(samples[1, ...], ax=axes[1], cbar=False)\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "uwJVF06EQ0SK"
      },
      "source": [
        "### Gaussian Processes"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "Y_IpyZlUTlBr",
        "outputId": "264e3c4f-8c67-4e40-cc02-3596a2732c22"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: ()\n",
            "Event shape: (200,)\n"
          ]
        }
      ],
      "source": [
        "kernel = tfp.math.psd_kernels.ExponentiatedQuadratic()\n",
        "xs = np.linspace(-5., 5., 200).reshape([-1, 1])\n",
        "gp = tfd.GaussianProcess(kernel, index_points=xs)\n",
        "print(\"Batch shape:\", gp.batch_shape)\n",
        "print(\"Event shape:\", gp.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "colab": {
          "height": 292
        },
        "colab_type": "code",
        "id": "mgI2dtZERCSX",
        "outputId": "a0771b37-4ba9-4592-f2cf-ed0a1ae3b380"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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i3/HthDXJbL20NCW8grWoR47AHQhQuOjOHWpIS6Ce1E45mDmDYJD3CGwWIpJG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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "upper, lower = gp.mean() + [2 * gp.stddev(), -2 * gp.stddev()]\n",
        "plt.plot(xs, gp.mean())\n",
        "plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
        "for _ in range(5):\n",
        "  plt.plot(xs, gp.sample(), c='r', alpha=.3)\n",
        "plt.title(r\"GP prior mean, $2\\sigma$ intervals, and samples\")\n",
        "plt.show()\n",
        "\n",
        "#    *** Bonus question ***\n",
        "# Why do so many of these functions lie outside the 95% intervals?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "MVj2wH_wSkwg"
      },
      "source": [
        "### GP Regression"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "n0xgOdM2XstI"
      },
      "outputs": [],
      "source": [
        "# Suppose we have some observed data\n",
        "obs_x = [[-3.], [0.], [2.]]  # Shape 3x1 (3 1-D vectors)\n",
        "obs_y = [3., -2., 2.]        # Shape 3   (3 scalars)\n",
        "\n",
        "gprm = tfd.GaussianProcessRegressionModel(kernel, xs, obs_x, obs_y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "colab": {
          "height": 292
        },
        "colab_type": "code",
        "id": "tqICnZOcUX8y",
        "outputId": "aec08d2d-37d9-493b-b569-bc8c8fe0c5c3"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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S6TSFQoFAIEBtbS0ej+eMjmthYXFusMxE5xJdN7SBri54/XVIJKC5mcy11zLodpNOp6mq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\ngWVKBnCV4HQFolh1V7BTF83KwfZUqvbwNVtaHAWXeOMGOk4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LaiadXplxuo4Qi3w+D4/H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\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "upper, lower = gprm.mean() + [2 * gprm.stddev(), -2 * gprm.stddev()]\n",
        "plt.plot(xs, gprm.mean())\n",
        "plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
        "for _ in range(5):\n",
        "  plt.plot(xs, gprm.sample(), c='r', alpha=.3)\n",
        "plt.scatter(obs_x, obs_y, c='k', zorder=3)\n",
        "plt.title(r\"GP posterior mean, $2\\sigma$ intervals, and samples\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "W6GCupiD5r5C"
      },
      "source": [
        "## Bijectors\n",
        "\n",
        "Bijectors represent (mostly) invertible, smooth functions. They can be used to transform distributions, preserving the ability to take samples and compute log_probs. They can be in the `tfp.bijectors` module.\n",
        "\n",
        "Each bijector implements at least 3 methods: \n",
        "  * `forward`,\n",
        "  * `inverse`, and\n",
        "  * (at least) one of `forward_log_det_jacobian` and `inverse_log_det_jacobian`.\n",
        "\n",
        "With these ingredients, we can transform a distribution and still get samples and log probs from the result!\n",
        "\n",
        "### In Math, somewhat sloppily\n",
        "\n",
        "* $X$ is a random variable with pdf $p(x)$\n",
        "* $g$ is a smooth, invertible function on the space of $X$'s\n",
        "* $Y = g(X)$ is a new, transformed random variable\n",
        "* $p(Y=y) = p(X=g^{-1}(y)) \\cdot |\\nabla g^{-1}(y)|$\n",
        "\n",
        "### Caching\n",
        "Bijectors also cache the forward and inverse computations, and log-det-Jacobians, which allows us to save\n",
        "repeating potentially very expensive operations!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "colab": {
          "height": 207
        },
        "colab_type": "code",
        "id": "OUKjqlHi5BQm",
        "outputId": "bb887083-fb81-4562-d300-f53e16168631"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "AbsoluteValue, Affine, AffineLinearOperator, AffineScalar, BatchNormalization\n",
            "Bijector, Blockwise, Chain, CholeskyOuterProduct, CholeskyToInvCholesky\n",
            "CorrelationCholesky, Cumsum, DiscreteCosineTransform, Exp, Expm1, FFJORD\n",
            "FillScaleTriL, FillTriangular, FrechetCDF, GeneralizedPareto, GumbelCDF\n",
            "Identity, Inline, Invert, IteratedSigmoidCentered, KumaraswamyCDF, LambertWTail\n",
            "Log, Log1p, MaskedAutoregressiveFlow, MatrixInverseTriL, MatvecLU, NormalCDF\n",
            "Ordered, Pad, Permute, PowerTransform, RationalQuadraticSpline, RealNVP\n",
            "Reciprocal, Reshape, Scale, ScaleMatvecDiag, ScaleMatvecLU\n",
            "ScaleMatvecLinearOperator, ScaleMatvecTriL, ScaleTriL, Shift, Sigmoid\n",
            "SinhArcsinh, SoftClip, Softfloor, SoftmaxCentered, Softplus, Softsign, Square\n",
            "Tanh, TransformDiagonal, Transpose, WeibullCDF\n"
          ]
        }
      ],
      "source": [
        "print_subclasses_from_module(tfp.bijectors, tfp.bijectors.Bijector)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "z9dPFaOVWTPr"
      },
      "source": [
        "### A Simple `Bijector`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "colab": {
          "height": 283
        },
        "colab_type": "code",
        "id": "ChhpOmKiYres",
        "outputId": "08e3d385-1b97-4068-9e95-b73eca91358d"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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gxGhDJU5GRB3BUiCvsNodeH3LYby2qQxWu4BCLsNTuf3x8Mh+PCmNyI+wFOiq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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "normal_cdf = tfp.bijectors.NormalCDF()\n",
        "xs = np.linspace(-4., 4., 200)\n",
        "plt.plot(xs, normal_cdf.forward(xs))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "colab": {
          "height": 283
        },
        "colab_type": "code",
        "id": "DfLTIp12UGjn",
        "outputId": "c830c563-0a0a-4874-f1fe-6cb7190b1c55"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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S6XS2RmpxVypq8PnBHADAk0Paw4t7EBE5FZlMhjnDrKODA1mlOJjV+uYObC6D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\n/wO2hXFKEV+zbQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.plot(xs, normal_cdf.forward_log_det_jacobian(xs, event_ndims=0))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "0Lc38b8uWnzT"
      },
      "source": [
        "### A `Bijector` transforming a `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "colab": {
          "height": 283
        },
        "colab_type": "code",
        "id": "m4DeJGmlCJ7j",
        "outputId": "cc0298c5-8602-459b-9066-608f7326b959"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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LUzdv3kxDQ4PB1YhIIPI60VxZWYndbm/2mN1up6KiotljBQUFOJ1OMjMz2bt3L4cPH2bi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\n7xyQFRujTwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "exp_bijector = tfp.bijectors.Exp()\n",
        "log_normal = exp_bijector(tfd.Normal(0., .5))\n",
        "\n",
        "samples = log_normal.sample(1000)\n",
        "xs = np.linspace(1e-10, np.max(samples), 200)\n",
        "sns.distplot(samples, norm_hist=True, kde=False)\n",
        "plt.plot(xs, log_normal.prob(xs), c='k', alpha=.75)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "A9MiFjxcW9C_"
      },
      "source": [
        "### Batching `Bijectors`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "SrbhJ9uhZry9",
        "outputId": "b140b685-bc99-4794-eb93-b647ba29df01"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Hinge softness shape: (3,)\n"
          ]
        }
      ],
      "source": [
        "# Create a batch of bijectors of shape [3,]\n",
        "softplus = tfp.bijectors.Softplus(\n",
        "  hinge_softness=[1., .5, .1])\n",
        "print(\"Hinge softness shape:\", softplus.hinge_softness.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "qk_wOqJKXUaS",
        "outputId": "86709567-d051-4a53-80d3-d9e88975d525"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Forward shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# For broadcasting, we want this to be shape [200, 1]\n",
        "xs = np.linspace(-4., 4., 200)[..., np.newaxis]\n",
        "ys = softplus.forward(xs)\n",
        "print(\"Forward shape:\", ys.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "colab": {
          "height": 283
        },
        "colab_type": "code",
        "id": "UazXAovhXHF-",
        "outputId": "dfaa971a-8d97-43eb-b951-c18be51f2425"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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v3qDW0bU6L3WcYucoxS3SUxBClBijycxrKw8QdSkZjVrF5wOaUSNzP/1OLCXD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\nKAghhDDJUBBCCGGSoSCEEML0D/bZ4D+x46QvAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Visualization\n",
        "lines = plt.plot(np.tile(xs, 3), ys)\n",
        "for line, hs in zip(lines, softplus.hinge_softness):\n",
        "  line.set_label(\"Softness: %1.1f\" % hs)\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "X2IK1UP7qeIJ"
      },
      "source": [
        "### Caching"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "g20uziHzqdJw",
        "outputId": "6422462b-4055-4af5-ad3b-46dc080f1393"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "10000 loops, best of 3: 112 µs per loop\n",
            "1 loops, best of 3: 437 ms per loop\n"
          ]
        }
      ],
      "source": [
        "# This bijector represents a matrix outer product on the forward pass,\n",
        "# and a cholesky decomposition on the inverse pass. The latter costs O(N^3)!\n",
        "bij = tfb.CholeskyOuterProduct()\n",
        "\n",
        "size = 2500\n",
        "# Make a big, lower-triangular matrix\n",
        "big_lower_triangular = tf.eye(size)\n",
        "# Squaring it gives us a positive-definite matrix\n",
        "big_positive_definite = bij.forward(big_lower_triangular)\n",
        "\n",
        "# Caching for the win!\n",
        "%timeit bij.inverse(big_positive_definite)\n",
        "%timeit tf.linalg.cholesky(big_positive_definite)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "lm6nizQNbTOx"
      },
      "source": [
        "## MCMC\n",
        "\n",
        "TFP has built in support for some standard Markov chain Monte Carlo algorithms, including Hamiltonian Monte Carlo."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Ol1vILKog0tf"
      },
      "source": [
        "### Generate a data set"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "5lZhXdbgbSwP"
      },
      "outputs": [],
      "source": [
        "# Generate some data\n",
        "def f(x, w):\n",
        "  # Pad x with 1's so we can add bias via matmul\n",
        "  x = tf.pad(x, [[1, 0], [0, 0]], constant_values=1)\n",
        "  linop = tf.linalg.LinearOperatorFullMatrix(w[..., np.newaxis])\n",
        "  result = linop.matmul(x, adjoint=True)\n",
        "  return result[..., 0, :]\n",
        "\n",
        "num_features = 2\n",
        "num_examples = 50\n",
        "noise_scale = .5\n",
        "true_w = np.array([-1., 2., 3.])\n",
        "\n",
        "xs = np.random.uniform(-1., 1., [num_features, num_examples])\n",
        "ys = f(xs, true_w) + np.random.normal(0., noise_scale, size=num_examples)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {
        "colab": {
          "height": 283
        },
        "colab_type": "code",
        "id": "AmaqGeiraFSj",
        "outputId": "423fc5ea-8ff7-4fa2-d119-fd318f86787a"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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gFPOmnKs4R1zpGqxkjvRwW4y7tfFWVRnijgXndrIqv8bZug8BTkuwNn/0el/G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lFFtckgVVUVTkR/jY6e8p7m4pOfsvVAMCWlFSyY7oJdv5p1by4ej2L9ZydqPKdcLmf0ZGvM+pnQ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\nrkJggg==\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 2 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Visualize the data set\n",
        "plt.scatter(*xs, c=ys, s=100, linewidths=0)\n",
        "\n",
        "grid = np.meshgrid(*([np.linspace(-1, 1, 100)] * 2))\n",
        "xs_grid = np.stack(grid, axis=0)\n",
        "fs_grid = f(xs_grid.reshape([num_features, -1]), true_w)\n",
        "fs_grid = np.reshape(fs_grid, [100, 100])\n",
        "plt.colorbar()\n",
        "plt.contour(xs_grid[0, ...], xs_grid[1, ...], fs_grid, 20, linewidths=1)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "pvBO5CMVg30Z"
      },
      "source": [
        "### Define our joint log-prob function\n",
        "\n",
        "The unnormalized posterior is the result of closing over the data to form a\n",
        "[partial application](https://en.wikipedia.org/wiki/Partial_application) of the joint log prob."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "UY56HpEaduUV"
      },
      "outputs": [],
      "source": [
        "# Define the joint_log_prob function, and our unnormalized posterior.\n",
        "def joint_log_prob(w, x, y):\n",
        "  # Our model in maths is\n",
        "  #   w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
        "  #   y_i ~ Normal(w @ x_i, noise_scale),  i=1..N\n",
        "\n",
        "  rv_w = tfd.MultivariateNormalDiag(\n",
        "    loc=np.zeros(num_features + 1),\n",
        "    scale_diag=np.ones(num_features + 1))\n",
        "\n",
        "  rv_y = tfd.Normal(f(x, w), noise_scale)\n",
        "  return (rv_w.log_prob(w) +\n",
        "          tf.reduce_sum(rv_y.log_prob(y), axis=-1))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "lgL8c1nKjSi8"
      },
      "outputs": [],
      "source": [
        "# Create our unnormalized target density by currying x and y from the joint.\n",
        "def unnormalized_posterior(w):\n",
        "  return joint_log_prob(w, xs, ys)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "45TMHGcUhS9l"
      },
      "source": [
        "### Build HMC TransitionKernel and call sample_chain"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "T9Myqb0Yjph3"
      },
      "outputs": [],
      "source": [
        "# Create an HMC TransitionKernel\n",
        "hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
        "  target_log_prob_fn=unnormalized_posterior,\n",
        "  step_size=np.float64(.1),\n",
        "  num_leapfrog_steps=2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "JBuIs-IbedWo"
      },
      "outputs": [],
      "source": [
        "# We wrap sample_chain in tf.function, telling TF to precompile a reusable\n",
        "# computation graph, which will dramatically improve performance.\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=hmc_kernel,\n",
        "    trace_fn=lambda current_state, kernel_results: kernel_results)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 47,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "cR_fZpvY0dUJ",
        "outputId": "51c652d8-1a13-4ee5-b23f-d9202b5e138a"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.913\n"
          ]
        }
      ],
      "source": [
        "initial_state = np.zeros(num_features + 1)\n",
        "samples, kernel_results = run_chain(initial_state)\n",
        "print(\"Acceptance rate:\", kernel_results.is_accepted.numpy().mean())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "o2CKVvkq0uLi"
      },
      "source": [
        "*That's not great! We'd like an acceptance rate closer to .65.*\n",
        "\n",
        "(see [\"Optimal Scaling for Various Metropolis-Hastings Algorithms\"](https://projecteuclid.org/euclid.ss/1015346320), Roberts & Rosenthal, 2001)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "WUb36P8JhXSw"
      },
      "source": [
        "### Adaptive step sizes\n",
        "\n",
        "We can wrap our HMC TransitionKernel in a `SimpleStepSizeAdaptation` \"meta-kernel\", which will apply some (rather simple heuristic) logic to adapt the HMC step size during burnin. We allot 80% of burnin for adapting step size, and then let the remaining 20% go just to mixing."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 0,
      "metadata": {
        "colab": {},
        "colab_type": "code",
        "id": "QzAocJeU0wib"
      },
      "outputs": [],
      "source": [
        "# Apply a simple step size adaptation during burnin\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
        "      hmc_kernel,\n",
        "      num_adaptation_steps=int(.8 * num_burnin_steps),\n",
        "      target_accept_prob=np.float64(.65))\n",
        "\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=adaptive_kernel,\n",
        "    trace_fn=lambda cs, kr: kr)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 49,
      "metadata": {
        "colab": {
          "height": 35
        },
        "colab_type": "code",
        "id": "oZwdWBF114E2",
        "outputId": "75db36a6-de9a-41e9-aa18-ec0cd2d65e59"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.431\n"
          ]
        }
      ],
      "source": [
        "samples, kernel_results = run_chain(\n",
        "  initial_state=np.zeros(num_features+1))\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 50,
      "metadata": {
        "colab": {
          "height": 549
        },
        "colab_type": "code",
        "id": "di0E8pYy0UOD",
        "outputId": "a4e33e3e-75cc-471c-b24b-53ef8af7f8c4"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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jw0dxV3PmbWjzafALUQZS+mf6MRuehd1ix6qKVXBZXZrnhmNy32skHslaGQzO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\ngCAIggDw/wMFXixCKit89QAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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nopdvFvX1tvh3I5uqvVjbN9MlFYK+8Xpj31aGtvDFF2LGi8sFTJpk3Thk0Dc1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\n",
            "text/plain": [
              "\u003cFigure size 600x400 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Trace plots\n",
        "colors = ['b', 'g', 'r']\n",
        "for i in range(3):\n",
        "  plt.plot(samples[:, i], c=colors[i], alpha=.3)\n",
        "  plt.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
        "plt.legend(loc='upper right')\n",
        "plt.show()\n",
        "\n",
        "# Histogram of samples\n",
        "for i in range(3):\n",
        "  sns.distplot(samples[:, i], color=colors[i])\n",
        "ymax = plt.ylim()[1]\n",
        "for i in range(3):\n",
        "  plt.vlines(true_w[i], 0, ymax, color=colors[i])\n",
        "plt.ylim(0, ymax)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "wgBUkL1OKJn4"
      },
      "source": [
        "### Diagnostics\n",
        "\n",
        "Trace plots are nice, but diagnostics are nicer!\n",
        "\n",
        "First we need to run multiple chains. This is as simple as giving a batch of\n",
        "`initial_state` tensors."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 51,
      "metadata": {
        "colab": {
          "height": 52
        },
        "colab_type": "code",
        "id": "IqPcDhD7H3Dw",
        "outputId": "ffa51a90-75b0-4f83-8c53-71a34b97286d"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.6545\n",
            "R-hat diagnostic (per latent variable): [1.00242245 1.00223462 1.00079678]\n"
          ]
        }
      ],
      "source": [
        "# Instead of a single set of initial w's, we create a batch of 8.\n",
        "num_chains = 8\n",
        "initial_state = np.zeros([num_chains, num_features + 1])\n",
        "\n",
        "chains, kernel_results = run_chain(initial_state)\n",
        "\n",
        "r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())\n",
        "print(\"R-hat diagnostic (per latent variable):\", r_hat.numpy())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "TjCHHvEL78by"
      },
      "source": [
        "### Sampling the noise scale"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {
        "colab": {
          "height": 69
        },
        "colab_type": "code",
        "id": "_WLdLT875OpQ",
        "outputId": "1ae340b5-b37d-4665-ff1c-7c174acc5ee8"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.75925\n",
            "R-hat diagnostic (per w variable): [1.0009577  1.00296745 1.00102734]\n",
            "R-hat diagnostic (sigma): 1.0042382564283778\n"
          ]
        }
      ],
      "source": [
        "# Define the joint_log_prob function, and our unnormalized posterior.\n",
        "def joint_log_prob(w, sigma, x, y):\n",
        "  # Our model in maths is\n",
        "  #   w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
        "  #   y_i ~ Normal(w @ x_i, noise_scale),  i=1..N\n",
        "\n",
        "  rv_w = tfd.MultivariateNormalDiag(\n",
        "    loc=np.zeros(num_features + 1),\n",
        "    scale_diag=np.ones(num_features + 1))\n",
        "  \n",
        "  rv_sigma = tfd.LogNormal(np.float64(1.), np.float64(5.))\n",
        "\n",
        "  rv_y = tfd.Normal(f(x, w), sigma[..., np.newaxis])\n",
        "  return (rv_w.log_prob(w) +\n",
        "          rv_sigma.log_prob(sigma) +\n",
        "          tf.reduce_sum(rv_y.log_prob(y), axis=-1))\n",
        "\n",
        "# Create our unnormalized target density by currying x and y from the joint.\n",
        "def unnormalized_posterior(w, sigma):\n",
        "  return joint_log_prob(w, sigma, xs, ys)\n",
        "\n",
        "\n",
        "# Create an HMC TransitionKernel\n",
        "hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
        "  target_log_prob_fn=unnormalized_posterior,\n",
        "  step_size=np.float64(.1),\n",
        "  num_leapfrog_steps=4)\n",
        "\n",
        "\n",
        "\n",
        "# Create a TransformedTransitionKernl\n",
        "transformed_kernel = tfp.mcmc.TransformedTransitionKernel(\n",
        "    inner_kernel=hmc_kernel,\n",
        "    bijector=[tfb.Identity(),    # w\n",
        "              tfb.Invert(tfb.Softplus())])   # sigma\n",
        "\n",
        "\n",
        "# Apply a simple step size adaptation during burnin\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
        "      transformed_kernel,\n",
        "      num_adaptation_steps=int(.8 * num_burnin_steps),\n",
        "      target_accept_prob=np.float64(.75))\n",
        "\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=adaptive_kernel,\n",
        "    trace_fn=lambda cs, kr: kr)\n",
        "\n",
        "\n",
        "# Instead of a single set of initial w's, we create a batch of 8.\n",
        "num_chains = 8\n",
        "initial_state = [np.zeros([num_chains, num_features + 1]),\n",
        "                 .54 * np.ones([num_chains], dtype=np.float64)]\n",
        "\n",
        "chains, kernel_results = run_chain(initial_state)\n",
        "\n",
        "r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.inner_results.is_accepted.numpy().mean())\n",
        "print(\"R-hat diagnostic (per w variable):\", r_hat[0].numpy())\n",
        "print(\"R-hat diagnostic (sigma):\", r_hat[1].numpy())\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 53,
      "metadata": {
        "colab": {
          "height": 567
        },
        "colab_type": "code",
        "id": "fkQVcO1O9YSA",
        "outputId": "3b71252d-678c-4978-974e-069dcd5fec49"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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i377NTUdrsQU+m5tRbpi11gsaQU+iMuNnPxPrPawS9qZNj8P+/cGwtxobG2F0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mVcZfVqmTyzbBnw8suZf2/OHLnwKl8rVsjrqJlky9mz5Tg2INur6O6Wk/tcFOZPyjW/vFz2OeJx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isRhisRjeeustnDlzBlNTU81j/9t/+28IBAIoFAr4j//xPxqyio2OjuLIkSNtYRX7/dXfa57l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UvyTW+vGGwbOdIeyTrxSJdYH0ZOcFZTW1uL2trage/37NkT9VirV6/G6tWrDS0fEVFaCASA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\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pJoAdO/SXjtOFsMeVW0db2P0m4PWDZ5y1u092bBUVofE8J8f6nV07Xkp2ENx8Mzoempqs\n5MWpUzGKZ/Fi79e53lBaavwtkl/oceNEHKHJyTzQpC2vyM/HiCw7FBbKRTLawW2q5lQKo0zTacw+\nUlyMfabvPyrrhd9gxxbJbinC1KkYWVpejo4tVUeuG1wv7yKKcJvZJ5VCWSZqkLmf/HyjPDCAvVOn\npMRwOkc5s08Q4PWprMxMAiaEiNZW1O1OnXJHCCNyTVGRXLYgp2j4mhqAO+7wTqKK2HvJycmBVatW\nwdNPPw0dHR2mchWpVArGxsZgaGgIiq5mEr5w4QKUXC0fnEql4CKVnYv+zle0tODvwkJMte2EefOQ\nPF9TYy3tS9oCwDFDStjV16M+19Mj16emJiSw2JXAa27m752zZxuZwWRRXo59511v8mTzmG9q4hOP\nm5vdZdKqr8f5yRKX5s1D3ZRFYaHxnIneOjICsG8fv/28PDz+8GFzZHpLC/+c5maAvj7D7ldfj4Tt\n48eRMCOD2lrzWABAog8r/yxYgJH8TuXsa2qwvfPnDeJVTY04KG3OHDNBa+ZMHNu0LXP5crP9bc0a\nObIbCy8E+hjRh9MeM20azqO2Nm/XaWoyB0Mkk+b5UlOD69SWLdEpvVhdjfu4k82ftos0N5uzTLS0\n4NrgRNRQyexTWMg/ftIkAOLQlSEPeSH6sIiYrKIDscM9RowYYSBrgyuefdb8/5QpRsCFE5YtwyxV\n//qX8dnUqbinbt5stSk3NFgz/J04Ya8fdXYCfP65c1+qqlBHuXjRTKwnaG8H+Oor+zZIcAhLtM/L\nw77Tz4Uc+8EHznpWczP2iwR98IjSqRReQzaY8vbb0X9NAiQmTTL81U6BMiUlSIwmYAMveHCTrXvZ\nMgxmJ3r8qlXOQQx0Nmj2fBoybdFYtMisX733HuqpIrDPiA4WCgHXD9ln0SIcwA0NYgVfJLyqfk4g\n61gm6Q/ZyZJtwnRQ/aWfq5NSduONWFfPiYQlMkQR4osoi46I7KNackg1K4DfiLABOmtRVoYbbG4u\nwJtv2h9bVYXGkoEBc1Sn05oycaI5GtUOJGI0yPcboUgeE1TKeLkpgeEneM9Udu8hfaPJIaJ2vN4H\nr09FRVbhnWD6dBT8/a4TPR5RXQ3Q0YHGPVGkbksLOiVkosec9rIlSwwnbNSQl4fy1dAQyn8EXjNs\nJJOoTBAEvU9GYV92it5lQWc0ssvcpBO0gTteS2LQ8GsO0e3SY25szLzuzJrlPTueG0Rh7XCD1lY0\nShUX4z1UVrprh7yD+fMxkp9XApJ+RjIkFR3PNKLvZWxsDA4w5RMqKyth0qRJsGvXLlh4lQy8a9cu\nuO+++wAAYObMmbCLMsLu2rXL4jwLDKIAi5ISI9Ot6rOfMUNM9mEzvMiUThFdf8IEJOhcuYL2BpaQ\npNKWyrHLlqHNjLaLiJ6jTHsqZaVl+l9SYib70LIIXXakpMScXQ0A12SVwDTd2diCyJJG1jRZwk9e\nHgZfRFVHj6EfdOl4go4OHDtXCZyuUVmJ9tft2/F/YktdtQqdJGT+fe1r3jOv64Tq+KePz2Twf5kA\npcpKfB7JpPqzJnO9pAQDtfLyoiU78NbLKPVPgKAc7gAane6JhNXhDmB2ZnoNxqqtRdKxnRO4pQUd\n4rt3Gxmo7KDqbAXAtYk4s3Nz0a9Dni+bGa+yEoPGzpzh+3aqq1GXoIkCIme9E5YuxTH/4Yfmz2lb\nvJtMe6JMgdXVSFimsX27VTZsasK1gcjus2cbtrytW81ykV1ZNZKJkIC+F9q57gWs3+LAAT5ppK0N\n10ynUok8P4joHURkbcrK4Ao2oKCx0bnkH0FHB45vWrdsaMC15KuvrGvW5MlW0n1+Pr8yDsHcuc7k\newC8jylTcB7zsrY2NjqTVUjf2GeSn49BBuS5FBUZx/Luk0V9Peo6dlk3S0uxjw77yjW0taFvnARI\nzJ5tHyhz443Gs5kxw6zTsoEXPFRU4LwlPkcZnWrKFBwf5FhRAAsNkvEZAP1Hra0Ar71mPU7UFiG7\n07jtNquPbN8+fH4ilJWJg4Vo6K5kIkCEJGyfUVLibLCTXfBFEae6N4yIbECRhpOSKJttSWSIIhG6\nokU26ExGPDiV5bKDKLNPbPDxB7LCVzKJQsrwsDMxyC0WLMDsU7QDPExEeb2T7RtPgNE5l2TTI7vN\nWsJCJ9nH3ELT3QAAIABJREFUDWLnvHs4pSJPJs3Mcy8oKYluBqZEAqOe02mzvKBrjoQFp2xMQUCV\n7BMGqqtRaczL86esagwxVKKXw4CqE9fNPdCElFTKbAgLi1QflXdRXW0Y72X7pKNMNXGupVJoyOEh\njGcUgfcyMDAAL730Etx1111QWFgIL774InR1dcFTTz1lOfY73/kOPP7447Bx40Z47733YMeOHfD1\nr38dAADuvfdeWLVqFfzoRz+C2tpa+M1vfgM//vGPg74dRH29OcsEgcpYYt9NUZHYiUbbC+bOlXuv\nomOSSSOL4dat9m3k5CChUKVEqOi6hYVoPFYl+6hehweZctGzZwP09vLbLygwyv+wjnRynEp/nPaJ\n/Hx8LtXVmNmHQOQIC4Lso3qdNWtiu8/1grVr0SEiskd5JfoQ0PoW0eXJusk7JlsgWg9UAjyLi9Eh\nnUx6K50nCtTyA7LyapaSfQDGicMdAB2Ny5bhHjlnjjl7hiqIk72pSZwtsb4ej7lyRU5GkHHcsqCd\n2fn5uM/TDni6vYkT8RqpFJ98VFuL90WIAs3NYme9E1pa8J5JqVD6c17fZCHKhsHLNNjba83c1dCA\nz4gQohob8T0BYOkq2h7S1CQuF0syERLQ91JQYHV65+Qg0erUKStxorqaT85g72d4mE8aaWzEtcSJ\nXMC2x/Y7wsjK4IrCQpQn/JQhefY7max4y5cDbNokd41EAtfLnTvVrmOH6dPNemJHh9r5svqjbB+d\n7P689XvCBJTbyPqh2j8A1GO7u3FN5hEwWTiVWueBPT4vT43sWl+P+8KHHxrrmg4Zi+3XwoWYEVIU\n7K4Z16dm52Xw1NWJiSFeFgOvinrUoZMUU1hopNHWFR0uIswUFRkbDMlaUFmJQvTixfruSybyTwTd\nNdZVNo0Y/oJ9D3ZGR9V3VlCADF1dxgLd0Y9+QNRHp3lMK1F2842XAcyr8LtokfE3z4jPe++qmX1E\noMk22WiUi8GHSiar8YBk0jp+dZN9/HpmovUmCu+oqMhwGKgYuoPG7NlWBTvOXug/yspwzyor40eR\nhw0vMovsmMnPR6fOqlW4BkVBToqKU3fCBDQ8LV8ezBycNw+vSUepRgkRWIcSiQQ899xz0NDQAFVV\nVfDkk0/CCy+8AHPmzIHnn38eZlElsX/5y19Cfn4+1NTUwEMPPQQvvPACVF0tVzxv3jx44oknYPXq\n1dDe3g633XYb/PCHPwzyRoy/gyb2utlbxsb4n8uWXkkmcR4tWOBM9HYLmXWD3C9b+lVHtiH6O9Zm\nw2bYqKoySmfz3odOss+qVQCrVwerI7HvgvduVNb5qOwJMfxHfr584JkXVFejjbalRZwdPRtB30tJ\nCa67M2ZgpkYVFBa6K62lsnaR0ohusyC6QRaTfQicHO4EtFM9dId7IoF7HvFVdHRgNnnRu6dL5MpA\nhoTr1icjk8mIvn5Ojr1cR2yXonFXW2smHXqRmWR8JjffbP5fJqOD1z2ZdZa7nYMqOmtrK66HtbVI\nmmCRSnnzm/nhnwpxbRoYGICNGzfCwMAAjP5/9u49uK3yzh//W5LlS3yPE9uxczVOSOJcIBAC4RpI\nKd3SJl12aYeUFrJLu3ybne+wMLPL0H6ZljZtv8DsprNf2J1lphdItqVbOnSZ0tLftlmgIaWETUsS\nQkMS27nZ8U22JNuSJT2/P05kH8lH0jnSuTxHer9mPHF0O491+eg5z/N5Pk8shh//+Mf4zW9+gxtu\nuGHWbZOLK8LhMF599dVZiyt+9KMf4b333sPAwAD+8R//Effcc499f8httymFMNTPpZ4xn/TnPtv3\nodbWonpeO6PvN60x10I+i0uWpP4/V4xct06pkqamp1qSnudi2bKZeaRMt7fq+7uyUkluUcf65mbt\nOAHk95wX2k6PR5kTtXqheWurshDI7Pn7DDh7p36iM02apg8iZLt9+n21aL2BtV5wl3WOMyYsrV1r\nfvWQDRvMfTyvVxmsiUSUvfi0rFqlBMnGRvM/oOvXA8ePa2dNptN6ntvaUle5FYLJPvIwkuzjNL1t\nU692dPp9tmaNssIh1yBNY6PSIYnHs68O8PuVleJTU8qes0Dhf2NLizKYHIlonxBbmexTX6+s+Egk\nCktINNImIjusWqWslC/0fa3FzLgm8ySM16vEu2hUmXw7eNDpFuk3b57y2nu9tpVSLTlmVg+zgh2V\nfQDzVsqn83jy+141Mz5dc41SCn/Nmvzub6QKSaEWLVJ+9JChUpoDqqur8esMe8vv2LEDO3bsSLnt\nj370o4yP9cADD+CBBx4wvY2GNTZqb7mlfo3N7J+qV6DqHWhOT165/HLlcdSPles9WV1tvPKVWRV3\n0rW2KgO7x48bP06222qVTk8fs0h/LQtN9tGaVFQfI9PAcKZjGFncl+n1TH8ttCZJ9JzfjY7Kuf0u\nuZ/HoyQfFpvKSmViU4iZSkV2Vnk3Ersuu0xJADGjfUVa2adoqhn6fNoJPJme+6YmpT+sVfXQqOQx\namqAm25SJqffeSf7fSorlQoufr++HQrUf4fXq2xrmkkyIU/ru3nDBmXOxONRtnoptOqvnvd2esKV\nnvsY7VekS+8jqPsx6Y+R7+cz/X6rV+eODTfcoGzPc+KE8XkrieNIPpKLK3bt2gUhBDo7O1MWV+ze\nvRtHjx4FoCyu2LlzJ5qbm9Ha2ppxccXExATuv/9+exdXJN9rhSaXJeeK079Dli3T/jyY9X5QP04+\nfelM8llMv2SJEts+/HDmslzJPh0d+s5hM41FFbI4Rs9zkyl3orExc+J5PnPRixcrW2xVV8+8J42c\n2+dzfpjO55upLKuWrNTmwGIzJvtk2pJLTe+Lnut2XV3Kh3ft2tnXNTTMLqEn+5fa9dcrJdgHB5X/\na7X39tvzW7nghMrK7CuzvF4lC9EKFRWz92AFlIH0o0eV98zhw0rHWCtxau1a5Xnu7tZ+/GTpxPTX\nQvb3WKlzU7KPXps3K1/GnZ2pJc/teC+mV2Vbtkz50SM9OzuT2trUVbpmZAinl75W0xqA1/s+0XOC\nqxWXyN2MVPaxc0WgnVpbgVtvNW8i3qr4pXfCyKnvco8n90BdcnWpTDweZdCJSC8zkgMy3S+fz6+Z\nyT759lNaWlxTHl16PB+zhp6E3vTPkdY4TTI5InnOkOn1Ki9Xqv/G4/oTSdVtrKnRXmnuxPnf8uXK\npAxgrLIPkP82wPnGQrNu39mp9Avfe0/5vxljWNXVygSX+tjq52f+fKWsu9qyZbNX+Calt19r7Crb\n69XSogw6Dw/bm3BJVAwyVfg3y2WXASdPFrZtRvK2VixoycZlyT5FM+Gej64uc5J91Orr9b3e11+v\nbH21dKkyz5GL+vssWa1ZK/lXfVut/pf6M6VnGxWtrarUrOqvGEmu1no8rzf1s6+exK+tTZ1ztOvz\nKYRyrllXZ16CEaAkbPl8yhyZGY9nk6JcXGGE+j2+YYOxBPlCzZkzk0Rj1Zi33t0Yct0m/TtVvaXy\nsmVK0qY6OSgTdTzIdD6plexj5Pmvq8u9zZ5aejsWLpzZrs+oqirgjjvyH8/Sm+xz9dUzC/rVtm5V\nvi+0YnemLeNtwGQfdUdATwfVyOBF+ovd0ZF5Bc3llysDAeqTfavLSBVq7lwlWeo//zPzbdyS6JOk\nfk21SsbZTT2QvnkzMDKiXQKuvFwZnMyU7HPVVUqHPv2+6e/hzk4pVpcWveuvB44dU17PbNyU7KO3\nbXV1M6u91Mk+VrrxRmWQfvFie45XaHZ7vsfSe8yuLiX5z6py/1Q8irnqidFV8Nk4newjMxn6UkTp\ntD7/q1Yp341DQzN9Go9HuVy2z5zWBLEe6r8jWbkv06RyqXLitZb9nL/YqBfOpJ+/LF06+/Y33qis\nuExW9s32Hsm1LUUycShJfd6d6XHVicnLlwMTE0pl0kLkep8bnSjO9Hd7PDMT2I2Nuc991ZIVAPQq\ntLJPebmyuKO7GwiFzI+NWsfWWt26eHHmBRnq90umZJ1Mf+NHPqIMSHs8TNQkktGqVUpSgp0Vg3LR\n2ydyWbJPSU+42z1uob5uzpyZiqCZxo/VycbplX2uuAJ4443sxzDj77vqKqVCYfqCfPWxzEw2Tip0\n+1mvN3UOTv14q1YBPT36HiefyhiFytaPTDd/PrBpE/Duu/ntcME5L/MYnfuorFS+5yYmUucn6+v1\n9fnznROrrlaqTv/Xf81uq9b7Id/3dTKZ0OjCh1zP45VXAocOKb8ntyuemJi5vqwstfLZ5s3Keaue\n/oTRZJ/06zZunHlekzL9/ULMfg3Xr9euFKVHRUX+O+/4fDPxMtdx585VqpgdO6b8f/FiJUHJqire\nBSrNCJfpRdQKGkLkX9nHSCe9rEyp4qIuMe6Wgb/kgLneChkys3OS3qjqamVwMp/3hd+vJJrlCkRa\nK/Blex6Kwdy5+qoKpHc6iiHZJxMr32cNDcrgrRPv5WzVwsyQz9/U0aGcHFndNjWZ37vFjskWxlx9\ntfK5Wr06v/ubGWfc9P1rZtUSIqtpvS87O5VFDOoBgzvumB1DZajsc8UVynmX0QpV6mPV1ioDR/mU\nmy5m6kHy5LazVkmuJGTClXnmzVP6t+Xls8diPvIR5TOuHlzW83n2ePQNJOr5LKdvRa7nPpdfrkxs\ndHUpg8hmlAPPdVz185Jr8mnDhszPqcejtHnTJuVH7/H1HDcXo8k+yetvvhn46EdzJ27lOpae46Xr\n6Mg+hqgeG1A/n2qZ3tOVlVL2ySKRCO6//34sXLgQ9fX12LJly3RFjXRdXV2oqamZ/vF6vXj66acB\nAPv374fX6025/o1Mk8JEMvJ4MldIkfCzm4JjPe5h1nspfUutbI+b77ij+jvP55v9vbxx4+zj5/P3\npSfANjUpCT+ZmFHZR2thfKGfo/LyzJUW0/uxmbbSydUOo23Ue/vWVmUBu9a8YqaY2NWlnMdefrmx\nNskeT4vdhg3KAnj153v9en1bGBcyT26kf57ve8SqrcdyVVNPP3cwspWnViwwkuyT3EJRL62qRfkq\npIrhLbfMvF56XiP198TatVLvglCalX0yrebWMwib7Ysq/c2xZo2yP1trq/62qQc1MgWx8nIgGlX2\nHJXBLbcog6HpwcfOiWSiUrBqFfD++9rXFVOHdcsWZeWn16tsX5dc/eEWyfKp6pL/Vh6LKJvVq5X+\nxJ/+pPzfaBnwUrNgAfCxjxk7kbTqeSovz71fs99fmq8TkR20zmXMmNBQnzMZmVBOKi/Pr2/EWJFb\neflMmW+rq19cd52yTYCkq8JcyedTthEHZveRKytnV0yxY7yipUWpxFVZqQyopq++zMXvV1aj5svv\nT41bVVW5B4DVY1KLF8/0IdN1dMzeciY92SffrdBzJfvkqoCbT7JP8jb5rhJNp151qyd5qasr+/Xq\n745Mf4t6O2kXiMVi6OjowMGDB7FgwQLs2bMH27dvx4lkZQcVdRLQ0NAQ2trasG3btunLVqxYgePH\nj9vSbiJbyd5/c1lln5Jm1utS6HeN1nsmvfK4uq1ayUXJChfptzXqyiuB/fuVyiLJ/kquye5CK/tU\nVCjzekmVlZn7CbmOtXCh8vwsWJC6UCHT4zU25k4eUFuzBjhyxHi7gNTdTXJV1l66FBgcBE6f1neM\nysrsW+Vk2o6Nsck8ZhVMqKhQkoAOHMj+WOrPvBHpi5usSvbJV6Ht0TMvVF4+UzVVnU+QXFBy7Jjx\nca5Mr0emyj4ej7G8ira2zNW72toKS5pUJynpef5qapSFdn6/9PNwcrfOKsuXK4MS69enXp5pYifT\nhyr9cvXJPKB8iLZs0a6WkomeZJ+bblKyyNLb7xSvN7WjkBzwueIKZ9pTCH7pk0zU78fmZrkrdJi5\nmqemRqly1t6uTLovWWLeY9vl+uuVyQars30ZsyxTVCtN892yym1bcZrFrBUjhbrySmVSTmtv+Y4O\nZaCmGKoq0rSiijtuZaTihRHq+5WVKedzmzdnX1lpNvWe4oWshCp211+vJOKoK+5awetloo8VfD79\n3+P5PP/qGKGnn3/llcrYzY03Kv+3uhLe+vWp/bf052LLltyDlOnJQVrWrs09zlXI32S0so+eweNC\nn2O9laCS1JOh6WOF+ejqUip/aPULkwqtiGSz6upqfOUrX8HChQvh8/mwa9cunDx5EkNDQ1nv9+KL\nL2LDhg3oNFgZraGhIevPqHqbvXzdeKMSG667rvDHIgJyx67kRKaZ21SnHzdbG5js4x6Fvi6trcpk\n5+LF5j1uWZmShJxeoUXdV0kfC6+rMy/RwO9Xqj/efPNMtSAjlS30SL9PelLxli35b5+1fr3S7vT+\nb6bHa2gw9nnONN6Ua8HKxo2pyeWdndpzsWrp7dJKrCr0PSz5RH3J0vO65vPaJatGZYsXa9cab4te\n6sfKlByT3rZcyf9A6udU/bnP9Bx5PMBttymVq9PH+Ts6Uqu06o1/+fQ5ssW59C2Kk7FNa0zGzOrU\nel/vxkZ7x+7yVJqlV8rKZpdQBpQ3aUeHkhHb2ztzud7KPmNj5rQtKdMHtKpKez95WVx5pTLw48bB\nS56QkEw8HqUc/diY8rmS+f2Zz+SXnpMzt3bEzVwVmus4buDC0s5FtdLU6Puks1OprqVeiUOZWfU5\nrKkBtm7Vvk7PCaCdXPgZl1FRxR3Krr7e/mOWlSmDyVNTzhzfLbQqwFDxWrQIOHNGOecy6uqrgdde\nU37P1Bfw+1PHbsz4vlyxAvjwQ+2tnBYvVn7+8z+V/7e3pyaAGN1CK1NiYHu79nmaWZNvZm7jle0y\nu5hVFe6mm7LfRivRzWiJfQcdOHAAzc3NaMqxenvv3r3YsWNHymXd3d1obm5GfX097r33Xjz22GPw\nFZLAn6+GBiVplKgQRt67116rfI8tXGhde7Jhso8zCh2DzcfGjcpxjTyOVjvVl23dql1pUX2M5PUb\nNwI9Pbkn7/Ohd9ubfCr7pFNPtns85lWaVPfLMr0/Wlrs+Xymn0v5fNpzsWqMG+5i9mfQqKuvBt55\nR/lda5F4a+tMAt/k5Mzl6W1dulTJCTh40Jx2ZUpEWbNG6cvX1wPHj8+usJPcHaK8HFAv+NN6btM/\n336/MsaTLV/A6808x5apGk8+sj1WtvPtBQuUGJFMqCkrU17DkZHsx8gm+fdecYWycwig7H6gVmRx\npzSTfbJJTp5kSvbJFsjUJfjy1dEBDAwo2X5unuR2Y6IPaeNr6azrrlMGO90aD8hasg1kZ7JkCfDe\ne3K2LYPkStOkXbt24ZFHHsHQ0FDWAeh8V5payujzbqQiITn/vnb6+GSaooo7srv2WuCDD2YnzllV\n2Se5rXN5ubN9axdN+hLZoqtLGXtJX00os8svV6pVZzs/vOUWZVxpyZLM20Bnkmm1qFqmY3d0KJPO\n+WxReNNNwOuvK7/X1AChkP77ZovNubZEtYNdSdGtrUpF4DlzlEHz06dd068PBAL44he/iN27d2e9\nXXd3N95++2289NJL05etXLkShw8fnk50vvvuu1FbW4uHHnpo1jGyacjnfUtkhaVLle0r6utzJ/5U\nVirfCWbTe47JZJ/ikuv9pvXaZqsInSvZx+fTP67Z2jpzTqVOCjY7Sd/s92/64y1YAPT1pV6nfk68\n3pm/z0i1bXXfLD1p+tZblf7Q/Pmp232l09tfsWIrJK0qPulbxhUSl8hcVlXA0WvBAqVSjRDan5Nk\nrNBzLDO3dm5vV85h0pN+/P6ZRJP0bZCvvTZ17u+yy4CTJ5V/tdrb3p6au3Dzzco2eOmPK5tcz3Oh\n7W9vB06dUn7v6JhJAkvuHhKNzv6+KLL+iu7Z45IrK6/eikpvpqIZA+x1dUr5wFzZrmQ9s0ugus3a\ntUrGpWzVA0qRGxJ9Cu1IF9mXq23c8N4AlA7WNddkrlLiAmasNF2+fDm+9rWvIa6xx7ktZeUBftbI\nGhxMsYTVcQewMfbIZv58Zd9tu7az8vuVwaitWxmHiWTi9ysDgHonitSfXz0rqK2S6xygtlYZ5Eyf\ntNMTf9InnNTa25WB6kyTgX6/Uib+6qszP36mNtTXK1sgtbVlv78e6nanT6glJbdWA/S9foW8xna9\nP7xepeJTcixn40ZXlJyfnJzE9u3bceedd2Lnzp1Zb7tv3z5s3boVzc3N05e1trZi5cqV8Hq9WL16\nNb785S/jpz/9qdXNLg3qCTS3jD0Ug/p64KMfVbZ8lR2TfYpDW5uSKJptq8hM/H5lsjqfpDM9Vd61\nbuP1Km1duND8qlZmb+OlTjpYty61vVrJPrfdpiR2NzTM3t4s/bbpc5bJ/6dPmldXy5/YrvXcLliQ\nXwI52avQmJ9vlSC/f3aiz5YtwFVXaX/OMj1+vu2//XblfOu221Ifa+VK44kr6pi3apWycCNTwr66\nQo4QymKyRYvM6adley7UMUTPc6be8cLMcbdM51UrVyrnQLfeqsxnq8+BvF7t8/0i66/ofgeoy8oP\nDw/jE5/4BLZv365526NHjyIUCiEUCqGnpwd+v39WWfnk9aFQCDeqT7JlsWGD0rGeP19fwGltnb1n\nKbnTlVcqmZNaewKWkqVLlaoyFRWONqPkEg3dSvaThmKllb3uRLnyXDwepVysS7fFMLrS9O67756+\nLLnStK+vDy+//DJefPFFfOc737G6yamcLq9a7Jx+fjnwXpRcH3eKVSETtn6/nN/RRJQf9erEbKuk\n1TLFELv6D0a38fJ6UwerN2xQxkoKPUYmDQ3KAH2mEvjpkjE1fSwu10B+S4s14xyZ/vZCtyUrYvF4\nHJ/5zGfQ3t6Op556Kuft9+3bNyvBOZ2XfWPztLQon68VKxwfGyw5Tr+PWUGjtKxdq0xYqz/nRpLN\n5s9XtqBJl6uyj/p9lqkCaab34vLlyhyOlZV4li1LnaTOZxuvykolKeCOO2ZvN5Spss+KFUpSstaY\nb7btWT/6UeV1zJbom36fOXNm/kat5KJ8mFXZp7JSWaBj9HHVW1bPnWu8LZSb3tdCz1bJmRZT5KOm\nRklezNS+QuLF6tVKFZ2kigolqcTs6skej3IulB5vjFZWy/fYmeQ6BwRSz8nKypTna9Mme+YNfb6Z\nbdn0KrIdbXTXqHKirHyuEqqjo6OoVwdvsyU/LHomcZqaOIFWLJza55g0qRMNFyxYgD179mD79u04\nceLErNuqk4CGhobQ1tY2K9Hw+PHjtrS75KizdbX2SiVrzJmjrNiMx5V9TPv6Zu8/SgUxY6Vp66WV\nPMmVps8884y9ZeWdTkYpdk4/pxs2AG+9lX1/ZnIVu+IOwC0tDOOEBlFpW7AACAaV39Xf/3q3dHci\nhhg9Zvok3Lp1yqRJS4u57cpHeztw7pxSgRtQVm4GAvraZuZEglHJ51Q9IM/ECQDAAw88gImJCfz4\nxz+GJ0ef+vDhw+ju7p618HT//v247LLLsGjRIpw4cQJf//rX8bnPfc7KZpcOjwdYv97pVpDTsn02\nWdmneDU1pW4pZZZM/ZKFC5XvdL0Jv3YQovC+m9eb+TtfK9mnkG2l/f7U8flsxwSU5/rGG5XLIpHs\nE99W92HTt/hJtjOfeHLFFcCxYzML+Q8eLKxtlF2212jTptz3r6tTCmlMTlqzFZW6fVrxLFP7q6qA\niYmZ/+tJdjFbpratWAFcuGDOdr1644/6/EkrzmzcqGwnrFZXp/zIatUqIBzOvO2by+S9IZ0ZZeXr\n6+tx77334rHHHoNP5lWOnCQjcozdiYaOJxm62datwMBAfh0zxtb8JTsk7e3AmjXOtqXI5LPS9NFH\nH816G8dXmjp9fDJfY6OySoyvbVEoyrjjJtmquPb1Kateiah0LV+uTNgkz0PnzQMGB/Vve1FWBsRi\nsy+X6VxIPdni9SqrJJ0Y3NZy5ZXKwoZktdDKSu3BWfXzmTy/T0/2Mes5b2kB+vuV35ctUyaX/P7U\nak/JQfSaGqX9QigD39dfD7z3Xn7bphSBnp4efPe730VlZSUaVZUTXn31VfT29mL37t0pC7r27t2L\nbdu2oTptxe6hQ4ewY8cOBAIBNDc347777tNMcCYiAwqp7CPTdxoVZvVq4MiRmX5PNunJGoD2gqRs\nVQ6T51rDw6mX28no8a66avZl6r6Bnm3BjCT7mJl8VV09UyXRSIWLXG3M5zVLtiXD9uOGVFYqi+IA\nZZ6CzKf3NdYzFuXxKIkiVlEn2xup9CTzd9nll5tXicuIZcuAoSEgfb61osK+hBkzEw8rKpTzsSKR\nV7KP0bLyL7300vRlybLyyQobd999N2pra+VeaarurGT6wpH5w09UREoq0dAIGWJQVRW3M6SiUjQr\nTZm0bC0Znl+nkzlY7cQ0RRN3is3VVyuVO1iJgai0eb2pE1fXXmssNqxeDfzxj9asWs1Ea/Itm4UL\ngfPnldXeZp4r19cDo6OFDUwnt3TIRT1WkJw8sCrZZ/Fi5fHq65XnrKZGSTB67bWZ26hfA3Xi1Ny5\nqdsBlJglS5ZAZOlDpo/nPPnkk5q3e/jhh/Hwww+b2jYi0onJPvK57jplkcLp0/rvk+k1W7ZM+a7K\nti1Uks+nbLk0NaUktA4NKRUR08m+taWR9+/atcqWQena2vQl+yTHcdK38cqm0OfPqs9nVxegStDN\ny6pVSnIZkHtLVr3U710j2/uQfm6I+TfdpCQRan1erdjyq1hxkbnUDCf72FlWXhrqD7Y62Uc98KFn\n/0EiKogdiYbSJBlmkiwhWAwdVHaaioPWyXsRKKqVpjIko1Bxq65WthKkghRV3HGruXOVLWLSeTxM\n9CGi2YzGhiVLlPLmehJWzNLZqUw46VmVDyiTTNdea347rr8eGB+3Z3uOigrgttuUv0XrufZ4jPeJ\ns1UiSG4TAcxsKbZggVJeHyjZyj1EVAKY7OOMbItt5s1Tfnp7Zy9ar6sDxsaU3xcvVm6Ti5Hq9qpz\n2IyJzUaTVfJ9Pxms9K95PDMWNemp7KNO8ClkGy+j7TFSzQdQ+pJDQ9r9GjP6tlYsYquqUvqgPJ83\nl9unME3CAAAgAElEQVTifH195lim/luKpSiAXcrLlYUvy5bZd0ynF7tKzFCyD8vKI/WLy+sFtmxR\nMpZl2k+UqAiVZKKhls2bgTNniq+Cjts6iaR8/w0PK6t/i1BRrTRlso+11H3ZYkjEzEdXlxIPhEjd\n05oMKaq441Zr1yrbrxRpIisRSUBrYsXK/pnfD9xyi3WPr5fPZ++42Zw5ma8zs7JPJuvWKYk/TU3Z\n25KLeuKUiMgu3MbL/TZvBg4fVrYgTbrmGuDECWVM+fx5Z9qlZ5smM5JsVq0q/DGA/Nqit1JP8rOS\nTM5SX5aJGZV9VqxQxm+MbtN63XVAJKKd2GNkK7Jsbcv2GPk+rpGtm8i4ZOXNyUlrj9PerizMUifZ\nm6GmRhn/icWA+fNnLud3WW633AIEAspiFqstWqQcq6PD+mO5lKFkn5IuK79+vRJMVq9OvVxPGUMi\nKggTDVXmzHFmT06idDU1/A50I56smM/nU5JdRke196QvBeXlygp6APj5z83ZZ53ICX6/kvBDRETF\np7FRqURodHIrH+XlhU1G3HSTssgn38oERERmyTaGMG+ekjRA8mlomJ3sW1WlJKMCylZfSXaOE+lJ\nVvH7Z34vL7euLVbRm/iSrDRy+eVKdQw9VRiXLAHef7+w6hb5zivo3U41X0YqHJGz0l8fO+bZrrhC\nef+bnQjv8SjbtpNxFRUzVU2tdsUV9hzHxXQn+5R8WfnFi4uvkgYVn5oaIBQqug5RSScalooie88S\nSYWVfazHlQVERESUL7cuRHGb669XVu36/cq/RphRZcCIbNsNEBFZTf29lC05Y/lyZfHL2bNAMKhc\nxjEHd3Cq76FnYVBd3UxCSl2dte3JxqptvDZuVIoKrFmj/L+yUrlMj44OpaJ0MVb+U7/WWotLGVuc\n0dwMXLyY/TZ2vDZer/5tic3A95vzeI5siO5kH5aVJ3KBa68FTp1SslyLRFEnGs6fDwwMONsGIip+\nTPYhIiIiks+yZcoEaXKVPc1oa1O2GClkC6x0Hs9MtQCjfeKFC4GhIfPaQkQkszLVlFG25AyvV6lA\nFg4z2cdtnJpE3bAB+P3vle/VbFassKc9Rul5f+faxqu1VfnJh9frzJbTRhKf8o0BdXXA1q3WVxAi\nY668EujuVvrmSep5t+rq4kzK8HiUz2lfX2q1sWJj94IGIzo6lMTIhganW+IKhrbxIiLJVVUpW4kU\nkaJONNywQUnOam93uiVEVMyY7EN2amwEBgedbgUREZH81qxRzt/ZP5tt/XplcUxzs9MtUSxapGwl\n4mSFASIiu+hN9kmSebKQtDm1PVZrK3D77cr2L26Q/t72+WZ+zzQBPXfuzG2LJWmltjb79WbFgKoq\ncx6HzFNePjv5rr5e2XJ2akqpttPbO3Pd4sXK//PdLk4mV1yhbKubb3JeoUr9u9XvB2691elWuEYR\nptwREblEeTmwcmXuDrMeHCAmIiIZXHmlskrvuuucbgkREZH8eB6nraxMmSywapJM/bynVQXOePvW\nVnMrDRERyUqd0GB020Nyh4ULlYTaZctSk7vs4JZEH62EKJ9P2RZ048bMyT61tcBttyk/dj+3Ztu4\nEWhpURYsO83FfeZIJIL7778fCxcuRH19PbZs2ZKyU4VaV1cXampqpn+8Xi+efvppAMD+/fvh9XpT\nrn/jjTfs/FNm1NcD8+Ypr4u6ss+6dcCWLfJW59IrWRG0o4P9f3IFl3/bEBGVuPJyIBoFli51uiXG\nubiTTuQqrOxDdqqsVBJ+iIiIiGTl9Sr9lfFxZ7bDICKSndcLJBK5t1sid/J6gU2bnG6FnFauVKoV\nL18OXLw4+/pk5Z5siiU5oJAtx2haLBZDR0cHDh48iAULFmDPnj3Yvn07Tpw4Meu26iSgoaEhtLW1\nYdu2bdOXrVixAsePH7el3botWQKMjChjzh4PUFPjdIsKxypT5DKs7ENE5Ga33grcfLOSZU9EpIUJ\nPkRERJRBUa40JdJj4UL3rzomIrLKRz4C3HJL5uol5Bx15SWardDnZ/lypVKx26vyFBsXj21WV1fj\nK1/5ChYuXAifz4ddu3bh5MmTGBoaynq/F198ERs2bEBnZ6dNLc3TwoXAtdcCW7c63ZLCrV+vVCxa\nu9bpltij1LcKKyJM9iEqdYsWKf96GQ5cye8H6uqcbkV+9KyEIKLC+f0zvxfLfuFERERuktwGoLnZ\n2XZoUK80HR4exic+8Qls375d87ZHjx5FKBRCKBRCT08P/H7/rJWmyetDoRBuvPFGu/6M2ZKTk2Zs\nmUxERFRqysv1f4c2NVnbFpO4PsG5q0t5XViRR1uyn71unXmP2dGh/OuWrcecoo4VWtufmaGtzZrH\ndcCBAwfQ3NyMphyxc+/evdixY0fKZd3d3Whubsby5cvxta99DfF4fNb9Ghoasv6Mjo6a+vfA4wHm\nzy+OMefFi5VkPxn+FnWFJKu+Z5cvn30sqyQT9orosywTpqcSlbo1a5RkEVaGIbstWKBkSxdDaUci\nmVVXK9sUJBJclUdEROSEm24CLlyYWWghkeRK06Rdu3bhkUcewdDQUNYBaOlXml5zDXDuHAcTiYiI\nrLZwoTLeIPliRNdvpdPRMZN8QrNdfTUQDpv7Ply0SBlTY/J4dvX1wIYNymJD9YJDM2zdqmy76pKk\nwlwCgQC++MUvYvfu3Vlv193djbfffhsvvfTS9GUrV67E4cOHp+PP3XffjdraWjz00ENWN5uc4PMB\nd9yhVN8x+3OVNHcucNtt9iQ3bdkC9PdLOSZSDJjsQ1Tqysp4okDOWbzY6RYQlYaFC51uARERUemq\nqnLNOZcZK03r6+tx77334rHHHoMvbSuFhhyJx6Ojo6ivr8+v8WoVFa55zomIiFzN4wGWLHG6FTkV\nbYIzKXw+axLOWJlen/Z2ax63qkr5KQKTk5PYvn077rzzTuzcuTPrbfft24etW7eiWVUZtrW1Fa2t\nrQCA1atX48tf/jKeeeaZWck+gUAg62PnOh8jiViV5KM2Z471xwCUxEmen1uGyT5ERERERERERCWO\nK02JiIioVFid4AzYmORMRFKLx+P4zGc+g/b2djz11FM5b79v3z48+uijWW/j9XrNah4RuZxHCCGc\nbkS+vF4vhBDsEBFJYnR0FB6PB4lEwummWIZxh0gupRB3AMYeItkw9hCR3ayOO5OTk7jjjjtw1VVX\n4emnn8562927d+PNN9/Ez3/+84y3+eEPf4hnnnkGr7/+uqF2MO4QyYV9HiJygtWxJxAIYNOmTfj7\nv//7rBU2uru7sWLFCpw9e3a6wkZfXx8CgUBKgvNf/dVfaSY460n2AcDYQyQBK+POzp07ce7cObzy\nyivw56jWcvjwYdxwww3o7+9HdXX19OX79+/HZZddhkWLFuHEiRO466678LnPfQ6PPPKIobawz0Mk\nFzNij6tT/7xeLzweT87bjY6OTnecZOaGdrqhjQDbaSYjbfR4PEWfUaw37gDF9/o6ie00jxvaCOhv\nZynEHYCxxyluaKcb2gi4o53s88zG8y37uaGNgDva6YY2AnL0efJZaZq+wj1dvm1ln8cZbKd53NBG\nQI7YIxP2eZzhhna6oY2AO9opy/mWGVvprFy5El6vd3ornZ/+9Kea9w8EAll/fD4fY4/N3NBGwB3t\ndEMbAef7PD09Pfjud7+L119/HY2NjaipqUFNTQ3eeOMN7N27F11dXSm337t3L7Zt25aS6AMAhw4d\nwrXXXovq6mrcfvvtuOuuu/KqosrzLWewneZxQxsBe2OPqyv76JXMoM61V6HT3NBON7QRYDvN5IY2\nysoNz50b2giwnWZyQxsB97RTRm547tzQRsAd7XRDGwF3tNMNbZSVW547N7TTDW0E3NFON7QRkKOd\nMq00NUKG5y4XN7QRYDvN5IY2Au5pp2zc8ryxneZxQxsBd7RThjbG43HcddddqK6uxgsvvJBzwnvN\nmjV49NFHsyY5v/jii/jnf/5nw9UMjZDhudPDDe10QxsBd7TTDW0E3NNOGbnhuXNDGwG200xuaCNg\nbzuLf2kGERERERERERHNIttKUyIiIiKrPPDAA5iYmMD3vve9nIk+hw8fRnd3N7Zv355y+f79+3Hm\nzBkAwIkTJ/D1r38dn/zkJy1rMxEREVE2ZU43gIiIiIiIiIiI7LdkyRJkK/icvpL9ySef1Lzdww8/\njIcfftjUthERERGZJZngXFlZicbGxunLX331VfT29mL37t04evTo9OXZEpx37NiBQCCA5uZm3Hff\nfUxwJiIiIscw2YeIiIiIiIiIiIiIiIiKEhOciYiIqBhxGy8iIiIiIiIiIiIiIiIiIiIiIpdgsg8R\nERERERERERERERERERERkUsw2YeIiIiIiIiIiIiIiIiIiIiIyCWY7ENERERERERERERERERERERE\n5BIeIYRwuhFERERERERERERERERERERERJQbK/sQEREREREREREREREREREREbkEk32IiIiIiIiI\niIiIiIiIiIiIiFyCyT5ERERERERERERERERERERERC7BZB8iIiIiIiIiIiIiIiIiIiIiIpco+mSf\n/v5+3H777ZgzZw7WrVuHQ4cOOdKOSCSC+++/HwsXLkR9fT22bNmCo0ePTl//xBNPoKmpCfPnz8e3\nv/3tlPsePHgQXV1dqK6uxp/92Z9haGjI8va+9dZb8Hq9+Na3viVlG4UQeOKJJ9DW1oa6ujrccsst\n0rXz3XffxebNm1FXV4fLLrsMP/jBD6Ro4+OPP47Vq1fD6/Xihz/8Ycp1+bYrHA7j05/+NGpqanDZ\nZZfhl7/8paltdiMZYo/b4g4gd+xxQ9wB5Iw9jDv2YewxTua4AzD2FIKxxx4yxB2Ascdsbog9MsYd\ngLHHLjLEHsYdc7kh7gByxh7GHfsw9hjH2FM4GeMOwNhjFxniDsDYYzbGnvww7thHhtjDuGMuN8Qd\ngLEnL6LIfepTnxIPPvigGB8fF//6r/8qlixZIqLRqO3tCIVC4mtf+5o4c+aMiMVi4umnnxadnZ1C\nCCFefvllsXTpUtHT0yNOnjwp2traxGuvvSaEEGJiYkK0tbWJ559/XoTDYXHfffeJe+65x9K2xuNx\ncc0114hNmzaJb37zm1K2cc+ePWLr1q3i3LlzIh6Pi0OHDknXzq6uLvH1r399un21tbXiT3/6k+Nt\nfP7558Vrr70mNm3aJP793/99+vJC2vXQQw+JT37ykyIYDIpXXnlFNDQ0iKGhIVPb7TYyxB43xR0h\n5I89bog7QsgZexh37MPYY4zscUcIxp5CMPbYQ4a4IwRjj9ncEHtkjDtCMPbYRYbYw7hjLjfEHSHk\njD2MO/Zh7DGGscccMsYdIRh77CJD3BGCscdsjD35Ydyxjwyxh3HHXG6IO0Iw9uSjqJN9xsbGhN/v\nF319fdOXLVmyROzfv9/BVikikYjweDxicHBQfPrTnxbf/va3p697/PHHxX333SeEEOLVV18Vq1at\nmr7u1KlTorKyUkxOTlrWtmeeeUY89NBD4vOf//x0UJKpjbFYTLS2topTp07Nuk6mdtbU1KS0cePG\njeJnP/uZNG28+eabU4JSIe1qaWkRv/vd71Ie+3vf+57pbXYLWWOPzHFHCLljj1vijhByxx7GHWsx\n9hgnc9wRgrHHLIw91pE17gjB2FMIt8QemeOOEIw9VpI19jDu5M8tcUcIuWMP4461GHuMY+wxh8xx\nRwjGHivJGneEYOwpBGNP4Rh3rCVr7GHcyZ9b4o4QjD35KOptvE6cOIGGhga0tLRMX7Z27VocO3bM\nwVYpDhw4gObmZjQ1NeHYsWNYs2bN9HXqNqZft2zZMpSVleHUqVOWtGtoaAh79uzB448/nnK5TG08\nc+YMJicn8fzzz6O5uRmrV6/Gj3/8Y+na+aUvfQnPP/88YrEY3n77bZw9exabNm2Sqo1q+bZreHgY\n/f39Ge9bimSNPbLGHUD+2OOWuAO4K/Yw7piLsccY2eMOwNhjFcYe88gadwDGnkK4Jfa4Ke5oHZux\nJ3+yxh7Gnfy5Je4A7oo9jDvmYuwxhrHHPG6KO1rHZuzJn6xxB2DsKQRjj/kYd8wla+xh3MmfW+IO\nwNiTj7I82+8K4XAYdXV1KZfV1dUhFAo51CJFIBDAF7/4RezevRvA7Haq22j33/Doo4/i7/7u71Bf\nX59yuUxtPH/+PAKBAPr6+tDb24t33nkHH/vYx3DllVdK1c4777wTn/3sZ/G1r30NAPDcc8+hublZ\nqjaq5duumpoa+Hw+zJkzJ+W6QCBgeZtlJWPskTnuAPLHHrfEHcBdsYdxx1yMPcbIHncAxh6rMPaY\nR8a4AzD2FMotscdNcUfr2Iw9+ZMx9jDuFMYtcQdwV+xh3DEXY48xjD3mcVPc0To2Y0/+ZIw7AGNP\noRh7zMe4Yy4ZYw/jTmHcEncAxp58FHWyT3V1NYLBYMplY2NjqKmpcahFwOTkJLZv344777wTO3fu\nBDC7neo22vk3HDp0CO+++y7+5V/+ZdZ1srQRAKqqqgAoAbSyshI33HADtmzZgv3790vTzuHhYXz8\n4x/H9773PXzyk5/E+++/jzvuuAOrVq2Spo3p8m1XdXU14vE4JiYmpl8bpz9nTpMt9sgcdwB3xB43\nxB3AfbGHccdcjD36uSHuAIw9VmHsMY9scQdg7DGDG2KP2+KO1rEZe/InW+xh3CmcG+IO4L7Yw7hj\nLsYe/Rh7zOO2uKN1bMae/MkWdwDGHjMw9piPccdcssUexp3CuSHuAIw9+ba3qLfxWr58OUZGRtDf\n3z992ZEjR7B69WpH2hOPx/GZz3wG7e3teOqpp6YvX716NY4cOTL9f3Ub06/r7u5GLBZDR0eH6e17\n4403cOzYMTQ3N2PevHn44Q9/iCeeeAI7d+6Upo2A8rr6/X7N62Rp58mTJ1FXV4dPfepT8Pl8WLNm\nDW655Ra8/vrr0rQxXb7tmjt3LlpaWjLetxTJFHtkjzuAO2KPG+IO4L7Yw7hjLsYe/dwQdwDGHqsw\n9phHprgDMPaYxQ2xx21xR+vYjD35kyn2MO6Yww1xB3Bf7GHcMRdjj36MPeZxW9zROjZjT/5kijsA\nY49ZGHvMx7hjLpliD+OOOdwQdwDGnrw/Y6LIfepTnxJf+tKXxMTEhPi3f/s3sWTJEhGNRh1py/33\n3y9uv/32Wcd/+eWXRUdHh+jt7RWnTp0S7e3t4rXXXhNCCDExMSEWLFgg9u7dK8bHx8XOnTvFPffc\nY0n7gsGgOHPmzPTPX/7lX4pHH31UDA0NSdPGpL/4i78Qu3btEtFoVBw8eFDU1dWJDz/8UJp2BgIB\nUV9fL372s5+JRCIh3n//fbFgwQLx6quvOt7GaDQqJiYmxI033ih+8IMfiImJCRGPxwtq10MPPSS2\nb98uQqGQ+PnPfy4aGhrE4OCgqe12G1lij+xxRwj3xB7Z444Q8sYexh37MPbo45a4IwRjTyEYe+wh\nS9wRgrHHTLLHHlnjjhCMPXaRJfYw7phH9rgjhLyxh3HHPow9+jD2mEfWuCMEY49dZIk7QjD2mImx\nJz+MO/aRJfYw7phH9rgjBGNPvrGn6JN9+vr6xNatW0VlZaVYs2aNeOeddxxpR3d3twAgKisrRXV1\n9fTP66+/LoQQ4qtf/aqYO3euaGpqEt/61rdS7nvgwAGxatUqUVVVJT72sY/Z9kXz+c9/Xnzzm9+c\n/r9MbRwYGBAf//jHRXV1tVi+fLn4j//4D+na+Ytf/EKsX79e1NTUiEWLFolvfOMbUrTx85//vACQ\n8vOb3/ymoHaFQiFx9913izlz5oiOjg7x6quvmtpmN5Ih9rgx7gghb+xxQ9wRQs7Yw7hjH8ae/Mga\nd4Rg7CkEY489ZIg7QjD2mM0NsUfGuCMEY49dZIg9jDvmckPcEULO2MO4Yx/Gnvww9hRGxrgjBGOP\nXWSIO0Iw9piNsSc/jDv2kSH2MO6Yyw1xRwjGnnx4hBAiv5pARERERERERERERERERERERERkJ6/T\nDSAiIiIiIiIiIiIiIiIiIiIiIn2Y7ENERERERERERERERERERERE5BJM9iEiIiIiIiIiIiIiIiIi\nIiIicgkm+xARERERERERERERERERERERuQSTfYiIiIiIiIiIiIiIiIiIiIiIXILJPkRERERERERE\nRERERERERERELsFkHyIiIiIiIiIiIiIiIiIiIiIil2CyDxERERERERERERERERERERGRSzDZh4iI\niIiIiIiIiIiIiIiIiIjIJZjsQ0RERERERERERERERERERETkEkz2ISIiIiIiIiIiIiIiIiIiIiJy\nCSb7EBERERERERERERERERERERG5BJN9iIiIiIiIiIiIiIiIiIiIiIhcgsk+RERERERERERERERE\nREREREQuYWqyT39/P26//XbMmTMH69atw6FDhzRv19XVhZqamukfr9eLp59+2symEBERERERERER\nEREREREREREVHVOTfR588EF0dnZiaGgIu3btwl133YWpqalZtzt69ChCoRBCoRB6enrg9/uxbds2\nM5tCRERERERUVLi4goiIiIiIyHw81yIiIiI38gghhBkPFAwG0dTUhDNnzqClpQUAsHTpUnz/+9/H\nzTffnPF+zz77LH7wgx/grbfeMnzMsrIyJBIJ1NXV5d1uIjLP2NgYvF4vYrGY002xDOMOkVxKIe4A\njD1EsnEq9vz5n/85Wltb8fTTT+P555/H7t27ceLECfj9/oz3GRoaQltbG44ePYrOzk5Dx2PsIZIH\n+zxE5ATGHiJyghOxx+5zLYCxh0gm7PMQkRPMiD2mVfY5ceIEGhoaphN9AGDt2rU4duxY1vvt3bsX\nO3bs0LyuoaEh6088HodJuUpEZAIhBBKJhNPNsFQikWDcIZJIKcQdgLGHSDZOxJ5gMIhXXnkFjz/+\nOKqqqvCFL3wBAHDgwIGs93vxxRexYcOGvAafGXuI5ME+DxE5gbGHiJxgd+yx6lyL81tE7uFUn8fu\nqmLs8xDJxYzYU2ZSWxAOh2dlAtbV1SEUCmW8T3d3N95++2289NJLeR+3vr4egUAg7/sTkXkaGhqc\nboLlknGOcYdIDqUQdwDGHiLZOBF7si2uyFZJNdfiimyEEDzfIpIE+zxE5ATGHiJygt2xx4pzLb14\nvkUkB6f6PA8++CA6Ozvx8ssv4/nnn8ddd92lWVXs6NGj078nq4pt27bN8PHY5yGSixmxx7Rkn+rq\nagSDwZTLxsbGUFNTk/E++/btw9atW9Hc3Kx5fa5gUyonnEREREREVNqcWlxBRERERERUzKw61+L8\nFhFlk6wqdubMmemqYrt378aBAweyJhoWUsGZiIqPack+y5cvx8jICPr7+6czoI8cOYJHHnkk4332\n7duHRx991KwmkCQGwmEc7uvDkoYGrGhqcro5RETkIuNTUzh49ix8Hg82L1oEv8/ndJMoD8cGBtAd\nCGBJfT26MiR1E5ExXFyRqi8UwtGLF7G2pQXN1dVON8f1hBC4GA6jobISFWWmDRMQlZT3BwZwOhCA\nEAIL6+qwvrXV6SYREVERuxgO473+fqxpbkZLlnMCys2Kcy0rnRgawsmRESyfOxeXzZ1r+P5nx8Zw\nMRzGkvp6NM2ZY0ELiUgPJyo4j46Oor6+Pr8GEzkknkjA5/UW9Bjng0G8PzCAK1pbi+67z7RRvNra\nWtx555144okn8NRTT+GFF16AEAKbN2/WvP3hw4fR3d2N7du3m9UEksSRixcxGYvhg8FBqZN9BsJh\nnA8GsWr+fJTbNJkcDocRCAQQi8VsOZ7ZvF4vKisrMW/ePHg8HqebA0DZ0/Tee+/Fm2++ic7OTnz3\nu9/FVVddNet2XV1d6Onpmf7/+Pg4nnzySTz88MN2NpfIdkIIDA4OYnJy0pF9h40KRiIom5gAAJyM\nxVDl96OsrAwNDQ2o5mSua5wcHgYAnBoZYbJPiXJ7nweAdLGHiytS/f7cOQDA786exScuv9zh1rjf\nyZERvD8wAL/PhztcvDrQ7bFHxvMt0q93dBTxS/3t3tFRJvuUCLfHHUC+Pg8R5RYOh3Hs5En4hcAH\nwSAmJU7Sz0Sm2OO2c63jg4MAlIVWRpN9EkLgfy5cAAAMT0xga0eH6e2j4uS2MWYtsp1vsYIzUW5H\nz53D4PAwWufMQWUBi9N6AgH4ARwNBrHE5n6T1X2ewtKg0jz77LP44IMP0NjYiD179uAnP/kJ/H4/\n9u7di66urpTb7t27F9u2bZOiM0fmCk9NOd0EXQ6ePYve0VH8sb/fluPFYjGcO3cO4XDYluNZYWpq\nCoODgzh37hyEEE43B8DMnqZDQ0PYtWsX7rrrLkxpvAePHj2KUCiEUCiEnp4e+P3+vPY0JXITIQTO\nnTuHwcFBzc+FjOb4/WitrUVrbe10ZYFwOIxz5865egCdqJQUQ58HkC/2qBdXTE5O4rnnnuPiCjJN\n96UqT1PxuMMtyV8xxB4Zz7dIP75ipacY4g4gX5+HiLJLxp55qvETN5Ip9pTSuVZclaQx4ZKxQnKe\nk2PMQgjTzo1kO9+yqoJzth9W9SE3icViGBscRFNZGbwFJugl+0xO9Jus7vOYWp+7paUFv/rVr2Zd\nvmPHjlklxZ588kkzD02Ut5FLFSSsNjQ0hEQigaVLl6KystKWY1pheHgY/f39GBwcxPz58x1tixV7\nmrLMIbnNqZERxBMJdM6dO2tFwuDgIILBIFpaWjA3j7K+TpiMxTB5qdNT7ffD7/NhcnIS3d3dGBoa\nSilrSkRyKpY+j4yx59lnn8VnP/tZNDY2orOzM2Vxxe7du3H06NHp23JxBZWaYok9Mp1vEVF2xRJ3\nZOzzUHGKxGJ498IFlHm9uKqtreBJm1KVjD0tbW3wV1QAABpcGINkiz081yLKzKkx5ngigWA0Cp/H\ng9pL8a5QMp1vua2qGJHdhoaGUOXzoaWtDeUVFagvoL8TmJyc/t3ufpPVfR5Tk32IAEiRESujaJPK\nVnUAACAASURBVDSKiooKVw8AAcDcuXMRCAQwqQqMTrFiT1MiNwlHozh68SIAYG5V1ay9RicnJ1FR\nUeGaRB9A+zuksrISFRUViEajDrSIiIwqlj6PjLGHiyuIMiuW2CPT+RYVRgghxfYAZJ1iiTsy9nmo\nOPWHwxgcHwegbB80L20Mg/RJxh6/SRPfTpEt9vBciygzp8aYI5cWhMZNnHOU6XxLXVXsqaeewgsv\nvFC0VcWI8hGNRlHJPk9OTPYhy/WHQvhjfz9iiQRaamqwYcECp5vkiEQiAa/X1J3zLBWNxxFLJFCp\nUR7N5/NJsS+rFXuaBi5tYZBJrso/RHaaUn0OpzQ+k4lEAj6fz84mWcbr9UoRd4goN7f1ebJh7CFy\nj2KKPbKcb1FhBACm+hS3Yoo77POQHRKqyVouFs0fYw8Vgp88603F4/B6PPAVyecUKK4xZkCu8y23\nVRU7NzaGi+EwVs2fj8oyphiUMjsWtyQSCXiLJPZY2efhJ5Esdy4YnN6S5dzYGNY2N8NfJB/OYjau\n2nt1jt/vYEsys2JPUyK3KpaBsuL4K4iIiIiIiIiIiORSLOOHshqfmsL+7m74vV7cumxZUSX8kDXc\nVlXs3QsXAABejwfrW1sdbg055eDZswhGIrhl6VLO90uA3zRFanB8HL87exaHzp/HhCppwwnpHUgz\nS+6ZQa7WyEeWDGct6j1Nk44cOYLVq1dnvM++ffu4hRcRERERkQoH/YkKx88RJQkhMBmLTW89QUQK\ndZxkxCSiYjQQDiOeSGAyFsME+wFUxEYjEaebQA4RQmAgHMZkLIbuHDulkD2Y7GPAWCSC3587h4Bq\nL8fA5CTeOnMG58bGHGzZbH8aGsLFcBjng0Gcdbht6SdvCQ6AkUnUe5pOTk7iueee456mRERkWCga\nxZ+GhvDB4CBOj4wgLnGiKxGRUeFoFEPj4043g6jkMPmndE2pJvk4Bpaf/v5+3H777ZgzZw7WrVuH\nQ4cOad6uq6sLNTU10z9erxdPP/20za0lvdSfBsZIImfwk2ct9ZY27ANQMeN2xQTwO0UWTPYx4PWe\nHvSFQnijp2f6sj/292NwfHy6dJksYqpJKqcr6aSfvLGTQ2Z69tln8cEHH6CxsRF79uxJ2dO0q6sr\n5bYy7GlKZKZiHxyT+a/j4HNxOdzXhw8GB/GnoSEcuXgRZyRL4iYiKsSvT5/GgTNnMDIx4XRTiIhK\nQkr1kiI/Z7PKgw8+iM7OTgwNDWHXrl246667MKVRufzo0aMIhUIIhULo6emB3+/Htm3bHGgxERFR\nKvYBCsdnsDTEEgn0jo5iktWwXIGfS/kw2ccArS/nUVWVH5nIlFCT3hKulpfT+Pg4/vZv/xYLFy6E\n1+tFY1UVGquq8NX/83+cblpWyT1NJyYm8N577+Gqq64CoOxpevTo0ZTbPvnkk9i7d68TzSQiDelx\nx+PxoLq8HE88/rjTTcuJg8/FJRqPZ/0/FRet2OPxePDYY4853TQi06nPYQdY3ccxjDulSZ5RGbKb\nLK+9W2NPMBjEK6+8gscffxxVVVX4whe+AAA4cOBA1vu9+OKL2LBhAzo7O2dd19DQkPVndHTUkr+F\nMpPlc0Lmc2vsKRVMQLGWutqJXXN0p0dG8OvTpzEQDttyPBkx7thPXcVKTQiBC8GgocSdP/T14Q99\nfSmFNojcQJbYU2br0cg2CYlWEcle2cfJ58fIfoZT8TjiiQTKy8rgzfBFqra0ocFQWx5++GH09vbi\nD3/4A6LRKK7ZtAn3P/AAdu7caehxiEh+Vu6laiT2pMeda6+9FjsfeACfve8+y9pnhuTg85kzZ6YH\nn3fv3o0DBw7g5ptvzni/bIPP5Kz0voDTfadiZPUezoXGnr/5m7/BAw88YGELyahoPI7hiQk0V1fr\n6vsWCyEEIvE4Kst4qm4Gmfs8jDvFh70HSuoJBBC5lDxe7ffD5zVvrWUpxJ4TJ06goaEBLS0t05et\nXbsWx44dy3q+tXfvXuzYscOOJlKeeJ5lHZ5vEclBnQBhV8Q7cvEiAOC9ixdx67JlNh1VwfOt0pVp\nlObkyAjeHxiAx+PBnStW6Hqs88EgALCyj0vI0J/LJ/aMRSLTvweyFHJxY+zhCGKRkimhJr0l54JB\nNFZVOdIW2Szbs8eyxxYGKmMMDw/j+9//Pnp6etDU1AQAuPHmmzEVjWLevHlWNZGoYPFEAr89cwbR\neBzXLlyImvJyp5vkCjLEHq24s2XLFkSjUTRJHnesGHxuyNGJHB0dRX19fX4NJsPk6UUVDyvjDmBO\n7GGfRy5v9vYiHI3isrlzsXr+fKebM0skFkMskUC1yX2PQxcu4EIwiKvb2rCgtrbgxyv1eCZ7n4dx\nRw5CCPSFQvB5vWg2cctnGQZByRkr/9//s+yxSyH2hMNh1NXVpVxWV1eHUCiU8T7d3d14++238dJL\nL2leH8gxIZDrfIxIdjzfKl1CiIwVNrTE2T+xlBOVfZLC0aitxwN4vlVq9Jzf9F6qlshzIbISY08q\nbuMlmal4HEcuXsS5sbGCHielsk+hjTLZuMY2J+Ss/fv3Y8OGDZivmkgJBAKYJ+HECqUKRaP4Y38/\n+rIMehWz0UgEo5OTmJiaQn+JPgdupRV3RkZGUv4vq0IGn++++26rm0d5kK2vRNbJFHuam5sdbBVp\nSQ5UnhwedrglsyWEwGsnT+LXp0+bfm5z4dKKtj/295vyeBxgcx7jjvwGxsfxzvnz+N3Zsymr/Yjc\nzM2xp7q6GsFL34dJY2NjqKmpyXifffv2YevWra74+0qZulfCPkpxcnPscSujn6Tjg4OWtKNYxBMJ\n0x7L7jhXShVx1bLFHZmKIhQD9bNpJMmQigs/VQqZ+jys7GOxqUvl5xurqlDu8+W8/cmREZweGcFp\nAG21tXkHTJm+xLg1Rman//f/1n3b5KCjB0BtRYWp7RgcHExZxTQ2NoY3X38d33rqKVOPU2ouhsN4\nr78fHY2NWNbYaMkxjly8iIFwGD2BAD5x+eU5by+EwNDEBMq8XjRUVlrSJjup40kpdjDzjaZGYo9V\ntOLO/v37XRF3rBh85kpTubCvYj4Z4g6QOfZ85zvfcbBVVKhoPK7rXMssU5e2ZgGAgXAYSyyI0dmi\nUDgaRbnPB7+Nf7NbacWeaCwGAaDc57Ol/8i4Iz91ufjJWAx1Jp1vszdRut7/X/8L0UuThWZv46WX\nm2PP8uXLMTIygv7+/ulqqkeOHMEjjzyS8T779u3Do48+alcTKU9C4sWpbmf2+dbE1NR0FUsjCQRu\njj1uJYQAPB5MxePweDwoy/Kd0zs6Or24QH3/UhxT1XJiaAjHBwexpKEB61TVvI0QGX63inoe0In+\nhgxjPZnizv99+mmMRSKoLCvjNtkWuhAM4nQggJXz5mEud3QpWVPxOM4Hg2iurkaV32/58fKJPeqF\nPRWXxtQKSZKUqc/DCJfm7NgYegIBeD0e1FdWYtW8eQV1dt46exajk5OorajALUuXplw3EA6jd3QU\nPq8XnXPnoqa8HKNZ9okzIuXkyeEJq/Sj60lEiiUSGItE0FhZaXln08lnx8jef8k9BL0ej2mDj0ld\nXV34h3/4B3z44YeYP38+/vqv/xp/8elPY/GSJaYep9T8sb8fE1NTOHLxomXJPiMTE4ZufzEcxtvn\nzgEAbl22zPStJ+zGwaEZIQOlWo3EHqtoxZ177rkHi5cswZSJq2iswMHn4jMrMdmhdhQzGeIOkDn2\nLGGfx9V6R0fROXeubcdLOJhsPBaJ4L+7uwFAX6K3xe2RXXrsiScSCF7qM1WVlaHChkFfxh35OT1m\nQsVnSUMDIpcSQ2vLyx2ZfHNz7KmtrcWdd96JJ554Ak899RReeOEFCCGwefNmzdsfPnwY3d3d2L59\nu80tJZKH2edbyXHoCp/P0KSdm2OPm03GYvivU6fg83qxtaMjY8LPH/r6Zl0mkLr1VClLVj3qCQTy\nT/ZR9SvNWpB/dmwM/aEQVs2fjzlpn8eAaj6xyoGEFhnGejLFnZaFCwEonw8m+5gjZeH1pX/fOX8e\nAHC4rw+3LlvmQKvIblrnz8cGBtA7OorGqircsHix5W3IJ/YE0vIvfB5P3oU1puJxLFuxAgcOHMDx\nDz7AgtZWR/s83MYrzfHBQQxPTGBwfBwnh4cxWmAJ52TyTjASmfUBODowgPPBIM6MjmqWp8+3KzA0\nPo6YRBOlyb87mSGnp5Pz1pkz+G1vLz6UsGx/Mbr++uvx4IMPYvPmzVi3bh06OzvxzSefdLpZrjeh\nY1uHC8EghsbHTTmenkFq9VYTE6oVrG6V78C8TNXPzOK2Mrxaceef/umfnG6WLurB58nJSTz33HMc\nfC4ynPQrXm6OPZSZ3YPTKaWr067rHR3FGz0909uQme2swe2e1fGM2xPZv9IWYNxxA7PeC6xqbC6Z\nxrWMihfw2gshTHnvuD32PPvss/jggw/Q2NiIPXv24Cc/+Qn8fj/27t2Lrq6ulNvu3bsX27ZtQ3V1\ntUOtpXwwRhbGzK2GsjH6Krk99sjsfDCIi+Gw5nXDExNICIGpeNzwNsP8LFonfWI5X/9z4QLOB4P4\nQGPsVz3GXaoJLYw79sm2jVdyDITJg6Wpd3QUgPHiBE4q5JwtEo9j47XX4v4HHsCNN97oeOwpzeif\nRfpggpkd51gikVJqXV3+3cxBDKMDwFZLfly8Hg8SQug6SUh2hD4YGsLypibdxwpGIghFo6gpLzd9\nq6ti941vfAPf+MY3pv9vVmeUMhsIh6cznz/a2Wna9hPReBx+r7fkSrDqPTk9OTyM44OD6GpulmL1\nQSlLjzsAELNoctRszz77LD772c+isbERnZ2dKYPPu3fvxtGjR6dvy8Fn+XFoq7RoxR6yTzgaxZGL\nF+HzenFFa2vWMvOyUvc50kv+JlfL/k9fnyWrmdIruBrp710IBvH+wABWqfYTd4sPh4dxIRjE+tZW\n06uc2oFxxz044SWH88EgDp0/j5Xz5uUcE7oYDmN0chKdc+dKcw6c7+KSeCKBUDQKAWX7r0K3a3Rz\n7GlpacGvfvWrWZfv2LEDO3bsSLnsSYkXq50cHsaFUAjLGhrQXlfndHMcxwhrHpkXsbk59shqLBLB\nIdUYslr6OyHZl4knEo5Ulit16tfjxNAQVs6bl/G2kVgMwWgUlWVlqNFRfV9rvqaYtkdMCJH3ljpa\ncWeC81um47kSAe6PNWZIfha+8tWv4qtPPKErhlup5JJ9zo6N4UIwiMX19WipqZl1vZUd5Z608vLq\nI2kdN7nfqlHpj+X0By/5pvd5vYglEpY9xxNTU9h/qaQ9ANzW0TGrrCHNlhACiUudf1kGxkrFsCrL\ndSoezyvZR/2aCSgTaL85fRoNlZW40eZycckVJHZsh5CUTzQ5NjAAAHivv78ok32m4vHpQeFCTpK0\nJISYfkwzHzcjiU8gimXwWS8jE8rFcOLn/r+ASF5nxsamV6ReCAZ1bUWVi5749Mf+fgyEw7imvb3g\nRQF6tvHSU+GxUHpK7qfHs1MjI7qTfZJbXHc0NmJBbW0+TTTN+5f6b8cHB3FNe7spj1kM31dkDqve\nC3yH5S85oXl8cDBnss/vzp4FAJT7fFgiyfldvmdKsURi+n0TFwIc0XI3IcT0+MPo5GTeyT69lyrC\nX9XW5sqEV3I3jhTLIaiq0BlVLSDXIgD0h0L4/fnzuLypKef3qNX9FSEEzgeDaKisRLXDk6F2yzbW\nH08k8Jvu7umCADcsXozGqioASnJXZVnZrPtrvVYplUtdfH4TjcUwHosZ3jqQ5BeJxSBQupWnAKUf\nGInH0cyFwGSRkkvt/Z8LF9AXCuHQhQua15udKKOeDE0f8E1oZN2a8XUs21e6urIPYF1CVXqJSqMl\nK7VMxmL4/blzeLO3FyeGhgp+vKTYpdVaVpWlFkIgGo8jGo/n7OSFo1GEpqam95Mn+6if8+SrdHJ4\nGL85fRpv9vYa3mpBCDH9Ps1UmcnKE4D93d147eRJy7at0OLmkxgzpP/9p0dG8IsPP8TRixfxweAg\nzoyOmlahTggxXT1tLBKxrWQ0Oe/E0BB+8eGHOB8MOt0Uy3DbDWdEYjGMT03x+S4xUw71OXsCAYxP\nTZmyTbD6fMaq5NdMnwujn5b0xzFyLvY/Fy5geGIC72Y4d3ZCkFuRkUOSk/Z/6OtzLI5RdrJWJ867\nl8P+kevlWuSp1x/6+hCKRvH2uXOFN8phxVSBgkhWQgi8fe4chBA4fmnbp1A06tiYzulAAO9euIBf\nnz7tyPHtpo5z87NM7Efi8ZQ+ZfDSePrwxAT+u7sbv/zwQ8PHc3NcHY/FAIBzVJLLtqW5lr5QCK+d\nPIlfnTyJczp3pJGhcl00Hsdve3tx0qTxo9d7evC7s2ddtcVVNlaP4+ZKajVTsYxJl1yyT5LWJGVC\nY19sM1/o9CCl/r9mZZ88j5Ppb0gIgYFw2PYJ2unKPpcGwu1aNaf3ONludyEYRF8ohJGJCRwfHJz1\n3HUHAjh68aLh4JNM9AlZlBQRvbQ/77iOJJ7kvoSRSx0qsk9Kwt+l3/80NIRQNIqRiQnDW/IJWDfh\npEcyyed0IOBYG9SCkUjJDcQfuXgRgLJq/0+XEr9iJsXc9G0YC9nTNJvi6F4Vl+ODg4glEvhjf7+u\n2/M1NF84GsVAOFw0JyCAElMmYrHp5GQqHenfH/kM5Eym9VtzVrdRHcOM91tKZZ8Mt7GjYqYZMSEw\nOYnRHBPkmV6j0clJHO7rm67UZIeC/2Kdz9lUPI7JWEyKgUaynsjwu9poJIKTw8PoHR0t6gRoNyu2\nSsWMPpSuGMbtiqUCBZGT0r/tZs0Fadznzd7e6ap56az+LOqd4FcbCIcxYOM5hlWyzcOlP+/J254Z\nHdV9H4BxNV1CCIxPTZXcnIBd1O8xPX1vdXLLiGrcIZ5IZHyNklU7nXRsYADDExPTFRoLoR5TGHYw\n2SeeSOBwX9/0nFEhrIw0HwwO4pcffph10dlUPG5aIY1iiZolleyT68vO6oG89EfXmui34jhJ7/X3\n4+DZs3gnQ8fOKumVfcyouKN5HJOew0gsNr1iNFuC1vjUFN7r78epkRF0S5LckKR+LjhA7S7qCbCz\nY2M539fqLpWRbXasZGcLMg3MD4TD2N/djf3d3TzRsYoNzytfObnke6Lshs9gsoXJGCpTi2OXSjsf\nPHtWuv6GWdhXKS3pJ+T5LETQ854RQmBofFypdJnlNvlUJNSzjZdVjPbzs91iMhbDGz09eL2nJ68k\nqMN9fTgzOmraYNxU2upWLXbECyEEwlNTmIzFZiWWUelSxy69Se9O9IGGJyZMr0xMRHKQYbyH3Ck5\nqWrGwliSU7bokG1S3Q5GY9fE1BQOnj2Lg2fP2rI1stnUn56+UEjzNgkhZlU6SgihnA8ZPD+2q7JP\nLJFwRWwYn5pCNB5H2IXvHTfQ8w5Qf+a1ktEmpqbw2smT+OXJk7igsYhicHy8wFYWrhgSrNOdCwZx\nZnQUHwwOSv33JZORMiWKxhIJhKempnef4JiyorSSfXJcn626Tq7VjnqOmZ7ck+uLON8vz0zZ3L2X\nsoLtXHmpbo96Gy8rqgvNquyT5+O8dvIk9nd3YywSyfoY6k6yngQmr9eLhE1VlawOb/F4HF5vSYUP\nS6THgPS4EInFMGCgc5Ne2SdXDDHzfeJUZz/TcZOrbSdjMcu2y3MD4fEgblLnzawYm69EIsG4Q5ZL\nRlCZBjAisdh0e0Yk3Z4inZ19Hqsx9pgv/Twgn0px6Z9RrQHkntFRHDhzBm+dOZPxcd7s7cWvT582\nvE2V+ujvDwxoxoxCp+MyJigV+Lhq6i1j8xkgUd//9MhIQW2Zisfx/506hV+dOpU1wSZbfNaKPfmc\nd6ZUMnQolvF8y156vvd13caMxhTo2MDAdGVimfozxYp9HirUZCyGPw0N6VrpXWypPmZFqFKc5DES\ne4QQCEWj04nMsmHsMV/693+uKg5Wf4L0xq6xSASTsVhKkoZVi8btpJWwpDU/F4nH8YsPP9RMfkjS\nnENU/W5VPAxGIjgbDGLSpNcjEothLBKxZMxe7/kbz7cKp+ezrXU+EpicnE4ekyGxR4uZCdZGqyEN\nT0zg9Z4e0+fx1Qk+Vu3YYAWv14uEai5eHTesyjXQI+UZ1Pl8WtnnYTRT0Uz2uXTZ6z09eT1mymR+\nllWYyf+bMRgj28c02Z7q8vLpy4xmKOs6jhnPneoxzgeDWctgqn/Xkx1fXl6OSCSCSYsm6oQQmNA6\nccvwvKgrGBkxPDyMSCSCysrKfJpJWWi9UkZPxFMq/Wgdw4atl2RYbZYpg7zY5PrbYl4vJiIRDJuw\nv6yTJicnEYlEUK76HiF5uXliySthZR830tXnccH7hLHHmDOjoynJH+kuBIN4s7d31oCF3io92Wj1\nPJLJJ2ORiOb9E0IgcOk9mk9p+aSxSATnbNzSR719kJ5PkV0xObmVaL6S2xzHE4ms76Ns75f02DMx\nNYVgNIqJqSnE4vG8Br8zDYJZ+bzyfKt4OPFNp55Qkv+b1v2sHuexC/s8znl/YAAfDA7it729Ob+n\nZBhrKVQh35/haBTHBgZSJv/Pjo3h1RMn8Pa5c2Y0zzXKy8sxGYlgSse4rsDM94Fsi+EYe8yRa3He\nhQzVZeyiJ3aNRSL47+5u/OrkScMT47JJj3MRjXkjrfH+TFWAjBzPqnOU7kAAMa8X45OTpowxT1za\nLtlolV2z/j6eb+VP/Rr0hUI5Ey205lNTFte4YGzQbr/t7cXo5GTGCsoHz57Fb3t7DX0eQtEohkzc\nQszOsf/0Po/7vhUUVvd5yix5VEnl8wY08y2rPmlLP4HLtd9mvsfJ9NhOqCqbebvpbZORD+6sjq3e\n0qQZfvfkeMz0L7bxqSnM8fszHqepqQmjo6Po7e0FVM/FqM+nq53JjqEHwIjGfRJCTCdR+Tye6S9K\nLwD/pdsn2+zxeGZ1ND0AAqrHTV6vvn88HkckEkFtbS3mzZunq92kjxAia8JhJp60Sj7q/yeESKn0\nYyV1O0+NjGBFUxPKbMiOz/TspG9vVqrGy8pQFo2iv78fgUAAPp3xRos6xgBAmccDnwWv8VQ8juRR\nkseIRCLwer1oamoy/XilTgiBsUgEtRUVtsULGam/H2Xjxgim7vNUVFRo3kYIgaiq32LFd4YQArFE\nAt484xVjj35/7O9HTyAAj8eDO1es0LzNH/r7NRPk9azCEcid0Gyn9L6F1iClVfFE/RwWuo2XTFLO\nybL8Xdn+5vTYk36+4wXg83pTzpm0Yo86PgFAwOtNeT3jiQRiQljSF+L5ljN0Jc7l87glfB5il5QJ\nQQeOn6nPo95CcsTr1d3PTsYXwLr+kRb2eayhJwaoE1xD0SjqMvSdSanIGI3HcT4YxNaODgDAiaEh\nJIRAfyhk6xiY05qamnD24kX0nz+P8kvvmUzjy+p+jRfAsI5xITvO1QDGHjNl60vnrPye5fpwNIqJ\nWAzz5swx1J7JWAzlPh+8Ho+u7+dMiS6haBTvnD+PuVVVuLqtzVAbnJL+bKafv0TjcbzX3z/7fnku\nglFfkm3RRKHMHGNWn6cl56PUl6njmXqcOP28TEumbbxHOb9livTntufSbjJJ6eM7WufvA6oFYE5V\nZclF1t7EWCQy/fwNjo9jfnV1zvtMxmL4Tdq2gepYMjwxge5AACvnzcs6v51yfwNtLlRTUxNO9fWh\n//x5VFRUwOfxTJ8vAYBfda6VaxxYK/lST1zRoo416jn0TKzu87Cyj4oZAzH9odB0tZRsVWEyVfYx\ng0wDSqFodHrw2+oJNDP+bvXroNXeTIlBQO7t0crKytDe3o7q6mr0BYPTP3olbz+Q4TjhaHT6NqOT\nkym/A8rz0zs6it7RUcSFSGlDXzCY0qkWquvVGZ9+vx/z5s1De3u7lBOibpOr85/P4xnaxsvMuJP2\nuH/o67NlX2U9qxfkiYgO8HgwVl6O6vp6hA3sz64lGo+nxIyQwdUXeg1PTEwfI7lir7q6Gu3t7fj/\n2Xu3GLmu80z0q76w2ew7LyJFiaJkkZIjWXIUz0xOhNieDBInmWO/HL0YkAfIGGcMOGMgD8nDPMVI\nHBgBNIhh+EFAToA8aIwBMhAwdjSJKOpKiaQo8SLeRXZXd9etu65d93vV3ueha5dWrVpr7bX2Xrtq\nV7M+gGBX1d5rr72u//ov3z819UD5KA8Eqzs7OBcKKaewUcEozEGrjrJpvIaZ734UQMo8PLQMozvX\nnTANyiBbq2GrWETUIWuLH9eeRCKBb33rWzhw4ACef/55XLlyhXvt3//93+OJJ57A/Pw8XnjhBRQ9\nZJ8J5XIAOMrHjlMhb944YfahP2/mcn2Ryj0ykUSZbuCFXKyrfqJy3D6Dfm9tdXb4G7320OedrWKx\nR57hpeqmz0o0ooUC4sWiJ4xO4/PWcCB1phhA1LQO0MEgOlFuNLCRzQ5cKZ8R0PsPuyd4Mk+6Uumu\nISpyY6nZ7N7npcGOhh9lngcFpGHAjnVlL+wKss69LDQ6c4nUNfmNqWZQmJqaQmt+HmlizeCBPHfJ\npIuz4PVZDfDf2uPXsxaNFGNfdLPn8+40TBPnQiFcjER67AaGaeLq9jZWMxmEcjms7ez0PD9WKOBs\nMIh3NzZgUIGpqvXZyGZRb7WwXSz61inADvR5l8dm49QuQPe9F+0UCAS6OubDhw9jWtIhgAfWWYt3\n/iLtXDJIlsv9di/i3vF5yx3o8UbbfxLlco+8YumKyHvDhIOQFxlgdEB2bFSbTby3sSFMlzgoQhEe\n7FI5ng+HESsUcM2hbeBeOt3Tz7oxNTWF/PQ00s0mEqUSqq1Wz9wmmdIy1WpXD5ytVhEtFHpkRdba\n4HTtTRFrjQxrktcyjz8kqQGB7rJ4qYRUuYzfOHIEUxMTrpXA28UiLm9tAQC+8/TTQkN+H2OMy2eT\noPMcunUgsGOsEeFTDo2qFwoZmTa1A9lWE4GAUDii++dmIoHHl5eF5c/NzWFubg5XCQH5heZ0nQAA\nIABJREFU5MmTUnW70VFGz05PM+8J5XLY6HiFLywuIt8xbB1YWMDJ48dRqNdxs3NAO3XoEPLUYW1y\nYqJbrmmauHn/PgDg4OwsTj72mFQdx3AOE5xUgiplmGaPMOW0vGK9jny9jkcWFqQFG3o+bHUMKt95\n+mmp+52Cy+yjScldb7VQb7eHGl23kc2i3GziNw4fdhY9HgjgeudQc2puDr9x5IijeqQrFdyPRLqf\nHzp0CCc1R0AYpolYNIp8Zx977KGHcNJmXR3DHe6l0wAgzAmuimEbXdzAWjtE77CRzeJWMolnH3oI\nX1pZ8bxOLOOiaZo4H4mg1mrh6489hhmfKEdJWDIPD+VGA3c7kSWHDx7ESYdrkwiJWAz5Tp/Kylt+\nxw9/+EOcOnUKv/rVr/Daa6/hpZdewurqap+y7de//jVeffVVnDlzBqdPn8bt27cHRo9PMw1+Fo8L\nHa6cMGrQnwv1Om4nk/jqsWPd72i2Q9nnGh15ipYlUpUKFmdmsH/I821maqqba30YDgfNdhtTncin\nCYJNFNhtu0mHClNZRwrTNBErFPDI4iLzd3LtucFw5nnm4Ye78szi0hJOEmPGQrXZxJ319e7nE489\n1iODkeV+fY+sLWPYQ2qt8pkTkK7ahHI5pCuVbhrBUqOB544e1VS6PS5EIlLnymEZbFgyT3Bjo2vM\ne+74cazMzkqVtbazg1AqBQBYWV7GyQG28xjDATlqbZ199oBR0hToxsdQgzk9jSKhq+Kddwr1Ou5u\nbgIA9s3N4eSjj9qW3TIM3FxdBeDdWc2PGIWzFoA+VhhRwDnrsyya7XZ3XUqWyzg2Pw9g1/GdToO8\nvH9/l/0n0vmt2myi1mpxHRVrrRZSRLnd+hLvsxcc+vqccTjyotN3ZdkgnXPu2CAQQHP/fpxwuSaQ\n5ylr7WJ9BwCprS3kOzLoyZMnbffCe8Fg97xMYq/ohIYN2qZIQ9UWzSM28BNoHReJW8kkSo0G7qXT\neIrD2KI10MzBPbJri4pDMP1ONxhsZTrRnJxEc3IS05OTePyhh7BOOCadOnoUxxcWAADRcBj5ju4m\nDwD79mFqehq/3ZF9WDqif3fihCM93/1gsOtotOIDG7pWZh8/ez+bptm3cHwai2Ezl+saupj3KTzD\ncvQR1cECj9nH7bRnLaYq0cxXt7d78kTfz2Twzvo6biWTjupTJTbWUUir08PsA4ZwLOhDL9LZOAWL\nRWrSzuAxPnAPFfczGeZcFUWWbuZyPcIrzexjJ1zxfn1/cxPXtrd7vKztwCuLrn84n8dH4XBPjnUv\nYOf0JIO2YeCtYBAfbG4qR1Vej8fxzvq6a/abZruNW8kkNrJZpfHBQ8KFAE0/SycjHQBkq1WcWVsT\nRu6OMZqotVq4n8l4Pu/dwBrfJO0nD5ZMdNuhbKQDlWYT2WoV1WbTcV73YUO0gqTKZVze2hqJQ/8g\nUSwW8cYbb+DHP/4xZmdn8YMf/AAAcOHChb5r/+Zv/gZ/93d/h6eeegqBQABf+cpXuCnVdIPer+zO\nIjWGIo6GDBV9hHoOKQuwHPhZZTTbbby9vo4LhHMrsEtNfSkaxblQaPdeTj1J9gaRUjveSTXhBPsI\nBgCnabxytRo+jcWU5ZtKs4k319bwUTiMlmH0tStPcW3BME2m4pWup91bXd3eRo7DymMH0XmO93zd\nMs8Y/oNXjjzDGDm69S4tw8CNRKLr6AP0r7fDhF91SyRUA3ic3DeGPyHTh+QecyeVwo1EgjuuR9/V\nRz965IcRWA+GgU0i2l42zdmwUyQOA34/azndS1if7a5nPZNcq1jnN9KYTMr7NLMPqfP7NBbDZ/E4\nPqdsc2RZPQEYgnfwAk7XFDv9Ke9swTPI28kGXq594XweH2xu9ui3gzs72p8j+w6iqwzTxOfpNPe8\nOYYerFH9r7Q2Mb7za/pNslbFRgMfbG727KcWGorM71oz/MheJxn85te+oEHX065NvXIa9ZvUqdU7\nwfJ+zmQy+NGPfoSXXnoJTYZhh/R+LhaLeO211zz3ft4iWHdoFDhpt3jfyUK0sdMDUHbCqT5TBZVm\nE7FCATvVKhIdw5HlCLWRzTou18Kg03g5aQs3aby8EqzC+bwrGjSrXuT7jCrtJQt+djK0AxkFkSiV\ncLcTwUeCN6pC+TwzkoPsZztPaztsKxiQZVNoXY/Hka1WHdMCyj6XbAenhvAgse4lFMowzN2UeZVm\n0/UBiDSabZdKuBiJuHKG0Unr66asSD6Pu6lUz1q0wUjBMlbWjSbofvs4GsW9dBrnw+Eh1UgefjzW\nMJU5xN+jaoQWze9Pt7awXSzi42gUFymnC13PGEWsrq5ieXkZR4ko/+eeew537tzpua7dbuPatWu4\nfPkyjh8/jlOnTuEXv/gFs8zl5WXhv7yC468Fu9S2NHhMoCT6zk6Ma+j+5jH7iBi8wvk86q0WdqrV\nnj3J2s/tFIdvBYPC3wHgUjSKT2MxT5SksvgwFEK8VOpTrIvQMoxunXO1Wp+SD7Bfjy5GIngrGGSm\nz5JxwiGhI6VErFBgpoCzi46mka/VpJzWxhhtqDik7SWwdAdtw8C5UIibCm+Q2Gt9MXZceLBRrNcR\nyuWQ5cytvcDsQ2I8xtUQ7uhRLMi0X7Za7dEpD2oEkYwwowIvzlqAN+ctGiZ6949PqPOV05mmki6G\nF3RpsaZaIIMqLOf9LUo/z0szPyprhl3ggG4dTp++VvK+tmH0pWCicT0eR6Fe7wnE8kIH5TZYFti1\nX67apCsaQz/69DAK1wL+leVJmevy1tZu1hQGew15Hc/xh3zHu6mUI1t7udHA2WCwG4CmgkE7CarA\nST1oZx+3wRJ2dWi027gUjfYRI/ilDS1oc/bxwvtZpzAkw2agu2tEGy2tKNa1SboppScSVdMBkhcJ\n4MU0UCmTZCriKZYnAgFbCnmnz5dFulLB9XhcigaNZ9Cw/iLry9p4RlWp5GcnQxF4+XllQafrs0BS\nzrEO1ip9q7Iu8a7kPa/sgOGj2W7jZiLRY5jiPZdcb+6kUko0hBbIebJVLPY5p/BAvrPOvLOpchnp\nSqWPbUAFbma2rjWvZRj4LB7H2s5OD9vDqCmCxpCHtd6NgiFUJo2Xn1FuNEbG+UdUS3KtTVcqypEy\nMs8wTBPXtre1OLQPCuVyGYtU6qLFxUWUKIfURCKBVquF8+fP4/79+/jVr36Fn/zkJ/jggw8GUk8v\nDFFORnUPs4+DoA7rfsM0+5jJeAotu8AB4ItAkw2HzvwqZ6pmu810JrcDq20K9XqvUznDEGm3/ljy\n2D2GElbViVGX3HAzkbBlsxSNlXythnOhEM5KOHqN4V/IKAgdMfsMYU/WHQFf5+zB+VrN1blEF/yq\nu9DFBuAWbcPAejarzOQ2xuDQZePupMgE+AF6OiQs0zSRqVSGdv7Wrnv36RqgG4Zp4npHj6KSgpte\nw2Vby02rRgsFnAkGR465eVTOWjyo2DD6fpe4jwxYZa1FZBmkIVbEWG9BJPvbrXuGaeJ2Mqk1Nb0F\n6flimsjXatKBsKpB2HY2G6c6oA9CIby9vq7svO21XW/eob2G5yg7ChiVYHajM9ZFsBsfMiQYfoOd\nU5yFM2trzAw59Ds6yaKTqVYd69VZbVxttfqc7OzWknqrhbupFIr1upZ14MrWFt5cW0NWYLeTIWix\nxuVbwSCzLLd1vZNKIVku43o8zi3XD+NYm7OPV97PukB7CJNgKWInPDD2kJOFntAsh4xBK5NIQ8qU\nBympAhKCnhvIGqIb7XafYccwTZimKZ3GyzTNgTBQsBQyMs9hjSPyLrso3uEvTXLwO8UqibWdHXwc\njXad6uzSHFhQoW/mRQ7cSaVwLhTqcehz82wWZNMg2F1Potxo4LNOBAEAxIpFbOZyWM1kmKkbyBLp\ndf1eOq1sLCbfv1CvY21np+s4Wmk2ka5UbD3S3a4LwxYUWobRjZznrYeqIA+1ZAqAUaGKHMM71Fst\nJMvloYx764nWKNRVh5Zh4FYyqS0dFTMao/N/KJfDuxsb+DQWQ7Fed+1Uqor1bBZnbA5pJFTa2AuD\nWSiXQ7RQcJyqdhiYm5vrU+QUCgXMz8/3fDc7OwsA+PM//3PMz8/j2WefxXe/+12cPXu2r8xcLif8\nt7S05N0LKcCJQojnCN8tw+Z+63cWVbMMWoYhNKQ5TbeqUsatZNIRw6FVqmhvZqUwllVcO00lQOJW\nMqmNop0up0/mEdwr0jOMMcawoUOe+WBzk/vbIJ0FuFH+xN9+PU0oyTycv53iXiaD28mksB/HGC6s\nfn760KHuGL6VTDL1gTocqu9lMrgQieAKh/1+kNDu+KO5PD+BXEcsJ3SZ99XBgq867jIdXZlhmrib\nTg/8XOoUXpy1AH+ct5zODfqsIbvv92QXME3b7AmyYN2zmcthPZvF5a0tZKtVXIxEHAV8Mp8nOV9u\nJBI4Fwp17S30fY12G7FCoauXdhOg5WTe0zBME+lKpTs31xUDoGTrfz+TwdXtbWVbllP4VQ6UwagE\ns7OYbVTsBSbn92HZP2qtFj6JxXqcGS3w2Mrs4FVAoe42uhSN4r2Njb7ANhEub21hbWcH729uuq5P\nulLBVrGIlmFgVcB6LdKDk583czl+yniXujdeGw3bbkdDm0eHF97POoWhmclJ22t6WGgsZx8XxgWR\nQE0f2rxm9qHrEi+VUGu1ehSyKcLbftIDo6vXG67sxkJTvhumibeCQby3udnTHgEGs4/16VwoxFQ2\nDXqC52s1pqKbRbMpo1QfFTYAC6OSzgLYpehLlcvdzUvUHw/NzXX/5l3FMr7wUgcGd3aQZ6RbcLvR\nyZSl+j2J85EIIp3cwPfS6R6B0pqrsnMuXangQwc0hzQsw917Gxu4GIngnY0NvLexoU15cT+Twfub\nm54xoNDtZTEW8RzB3t3YwPubm0zHJqerBXmf5RRwI5FgRuGM1oo0hgWn/fbuxgYuRaOO2S7cwBrf\nup29P0+nsZHN4uNo1HEZsgfhux3FUrJcxvubm3hvc9MxI44T3E4m0Wi38VE4jM/TadfRPk6vlUWV\nWGf9dkDj4fTp08hms0gQ++GtW7fwzDPP9Fy3srKCY8eODbp6noIeyzI9Rp5nVB2egS/GBcuZQ+b5\n1WYTbwWDruTrVoeRgYy4IpXlds51KZfR1HSwBil9soJDZN+VqbCRjO4lEWUo5ZyAfF66UumLQo8W\nClzZTKeT9xiDQaZS6WNJlTKcOHjWsEfEsJ+vEywlfLxUwpm1tSHUxh5k26ccsqjoWFOcprQeQw9k\n9jOrnwOBQPcsUmo0mA5aOvSqVooT1bSruqB7r9xL65xbNDqMjuQ5TCYVroVyo4FL0SjipZKrfiKf\nma1W8e7GhuOyBolRP2u5mQuyjDSW/cHOAYxm9mGlXGHZ4ViwCx4nbWwfhcNIVyrKKeTbhqFk8KZh\nsYSy0hwDuw4SV7e3uynKlZj0qbZqttt9z1GZ51Z9yHTpqmNHZn1oGwbupdOIFQqISQRH9Dhvi1L0\nUOvL1e3tkXEo5MHvGXNIsBhxWfYC0Zx2u28X6nVcjES0BFVej8eRKJWYdt59Ev4EgJxsNmxZRfR8\nXvYQFnQ5UgK9Nvq56WnudTLrjWGaQlua2/bn9TF5vht2HwManX288n4eBLpR3IzvnILVuaKN3I4d\nQvq5nGfQz/40FsPZYBBn19e733nNqqCbTpoEi0aLBcM0mVTTzXYb5UYDH9kIg6Zpot5qcSmQdb+X\nXY+cC4Ww0fFe59XDWoRl6nats7GNiqJ6FClWrY1HtB7sn5rCSmet5PUF09mH+kw/g2X03alWsZrJ\ndK81OAK0HXhXhvJ5Zt5d8jmfp9O4srXV9zzSie0+le6h68TGeS5r7rg5uNH1sp5fbTZRajRwnVAG\nuJk/99JpFOv1LtOE7plIG6SudDyyeawFVh9sZLPamH1oVJvNnhzyYzy4sIRkpywaXqJtGI4M9iwW\nMq9AOzOYNocdL7GayTjKI60bsj0W0eQw4DUWFhbw7W9/Gz/5yU9Qq9XwD//wDzBNEy+++GLftd/7\n3vfws5/9DJVKBffv38c//dM/4Q//8A+HUGs9oMeyVHSg4H6ZMqxfZZU8LLQNg+v4JvMOd1Ip3E4m\n8R5hJCGdbLyW2EWpjVjBIdLOPjZnX7KcYr2OoCDSSxWiGlaaTVyMRPpSKN9NpXBJwmlTpT/qrRaX\nJXIM71BpNnEhEsHFSIR5RgHkghX8FJFKY5SjmlWhGok+LKx2IttlIFp3ZVBtNhEtFEYukGsvgVT8\n03oMFqyeCsDegO5FqtRBw0sn2XvpNN5ZX+86NO110O1npUsXncNEbX5lexvJchmfxmLuHEc431tp\nNvyyX9IY5bOWDtZMFui9pClwXBXZpKapIAFDIeDYbtXj/S5rlDZME+9ubOCd9XVEKEcGXg23i0Wc\nWVvjpg7j3VfgMKergk7TTLOr1lot4fvTDhuy7MwWZPqOvEYmCM3JGP0oHEasUMClWEz5Xj/B7xlz\nVGFnA3fCukziQiSCdKXiKqjSAu88CADTLvRANHTse144dAL9LMcsZKtV3KMyxbh9I/J+UsfVp9tm\n3csgWRHVx4s9clj6dhG0OfuMuvczjYDLyG7WALM+sxxFmIucg0EmEqhZ4EW56hK7nThQkQuMrOD3\nmYSjDyAnXFiwWyR49wwDtADnxKABjB4N/aims8jXakKBZCIQYDohkmBSoFJ9vFOtCr37TQDnOwwM\nawzGIdVIAxbuplI9Biq67Ga7jdVMBlvFIrYdRB3yIhV1KMF4wgTre3Ld0rEKyDIQuFmjyFRyRZso\nCBMMQcrmWflaDedCob51hS5nkPT/DzJCHWrjMcRgrR1tw8C7Gxv4P/fv96V8Ws9mcYlI0egF7Oaa\naH/3s6Fn2Gm8yJ72imbXC7z66qu4d+8eVlZW8POf/xyvv/46pqen8ctf/hLPPvts97q//uu/xtzc\nHI4dO4Y/+IM/wF/+5V/i61//+kDq6IU8rBqtmKvVeiK9WGcFOyfWbqS9zXWAfYpcFuyUFqZp2srm\ndnPcrTQkcgJnrpeamH3udPLAA8D7m5u4Qym03YDVf9Z78gI6yN9YjpVOcL7jcMKKjhxDHeVGQ+qs\nXyWc/8m/VR0IZSEqt9Ro9LEO68ZmLod/WV3Fv6yu7innesuoJUodWG02hyoH0X2f4JxbybTJQO84\nY7EZ2eHdjQ1c297uOpmMvmvIaCGSz+NfV1e7TqoyDHTWOCX1QCR62C+01LIXhXodb6+vj5Q8zMN6\nNotKs+lILpNBZUjOdKZpCp0sLLDWGRUZmmf0VB13vL3vejyOc6EQ7vnYGWsUzlo82KXOEYEnw9Pj\nx/qsYuT8OBrF/qmpnu+S5bI2xkSe/vd8h+XHDvVWq/s+tF6a16aXt7bQaLf7gq9loSqTidqqUK/3\nOZZ+GArhfDjcpzO/m0rhHSLw34JqcKxoDWwbBsL5fF/bN9ttxEsl6bTPJOxk/FFn9vF7xhw7sPQq\nIrYwt0ETOvWv/tWYykG23URXychMH4XDUg7sKujRNQnqI0OSYqs3V6taH8h9Jl2p4GIkMjSGTBG0\nOfv43ftZ1KGslF0TjO9Un8dLqaNaP6XnSgpnrHu8dlSxo120kHFAB8byQLy6vd1nRFZ9R1Xjtu4W\nFDks0DkyyStZqcqUHDekrxwuRtXJkDU2SQQCAW7f06lmSFyMRnsODNvFonS/W+kKeBstjUSphI+j\n0a5A7XTMkO2g4vRRqNeRKpd7DHkySjD6UOFESWN3jywVrQhuU0nyQJZmMPY82XsBdt2ubm/jQiQC\nwzRxMRpFvlbDFQHzGOuz3TPGUEe50cCNRAK3k0mtlJs8iPrt2vZ2zxrYNoy+eTnofmetHeR36Uql\nq/yhleC3k0kky2Xthx4e3MoxfoKKQ7h/32LwOHr0KM6ePYtqtYqbN2/ia1/7GgDg5Zdfxu3bt7vX\nzc7O4rXXXkOhUEAoFMKf/umfDqvKymi020hXKlxGnWy1aqtYlVFY2Mn5vHFncJRXqkZ7Vhl1QnG1\nb3LS1ujn1RxPM9Ic3UgkkCDkLlbdZOUqmeixTzyK0GQ6GnX+l5HaaMejiqLDiAVLhh4VZjE/o9xo\n4N2NDZxZW7PtAzcGWp3zrdlu471OulyZ+aAC8vwRLRS6spZMCoVhY7tYxDvr61zjXKnRwP1MBv+6\ntoZEqdR3hrHePVOp4O319Z4UFV7BNE3ECgVHjlstw8Db6+s9To30OLNLi0rDGuNjR8LhwHIu5vUn\njUqz2ZPGixnUpbmOND6NxVBtNvuCGrrPN01cikbxqaZ92S17lYWuLmqA55131tdxbXsbwZ0dVJtN\nbGSzngZ9WLi8tYWzwWDf9zJvLqPHsRCQvE71mRYs5zc/My/t1bOWXX9+sLnZZfu3u69tGLbOgfR9\ntK1np1qVHmPkunguFOrTHYvkd5mgZrcrCGsNEL3bB5ubwgCDvrJsfqftQyRop6K1nR2uY4+KPMoL\n3Ki3WriXyeB6PN53Xr/Y2Ue4e43geaQecy/qhkY5Yw4LJsRBQKLz+KAhdJJ0sEZxy5KukaCMAZ1j\n17NZpTS0KljPZrtnFJ5ei14feeuNSl3sflfRyVzsMEvRWYb8oH/X5uwDjLb3M6BmdLAti8H+wIsO\ntX5rttta6a9IDMLRyA49hwbJ6yy0DaPPizdbrdrmH7+TSuHa9jZT0XFkbk54L6uepmmKc04OcFKr\npDlxwlI0CvC7kyEPIopAoD+3sYVIPo9/XVvDaibDnCfNdrvPkK/iMV9uNHqEcdM0sVOtotFu49NY\nDJei0W59PonFkCqXu1SZdmOfd2gghT9WOgge7qRSXHYk0zS5Rr7zlML3zbW1PhpCEUxwmNg4f/MQ\ny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K3W58DBMmi66Rnm+dVFeWPsQpRuxgvQAeuA8zlLr119AdkOHXicQBRATZd9L53G2s4O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\nJLJ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IgiAIPijYhyAIgiAIgiAIgiAIgiAIgiAIgiAIgiAIgiDGBAr2IQiCIAiCIAiCIAiC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\n",
            "text/plain": [
              "\u003cFigure size 3200x800 with 32 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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TLEAzCA0F+vWTmP/4Q7Ip9RYQEIC0tDQkJibq/2GKpKamIi0tDX5+fqpDIQ/0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1edDn8YPBgvRkfDWavFuawsRH3+OXZdumSd4klWSsqeJm3jRY4vq6QE7XQ6vDRiBNx0TX9b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HskVbtJQfWsoOLeWGljKjtWOxWCxMnz6de++9l+rqatLT01m5ciWrV6/uyHI1RUtZ1Rwt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\nQgghhBAq8f+TcASGxOOkAQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "\u003cFigure size 3200x800 with 32 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "w_chains, sigma_chains = chains\n",
        "\n",
        "# Trace plots of w (one of 8 chains)\n",
        "colors = ['b', 'g', 'r', 'teal']\n",
        "fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
        "for j in range(num_chains):\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    ax.plot(w_chains[:, j, i], c=colors[i], alpha=.3)\n",
        "    ax.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
        "    ax.legend(loc='upper right')\n",
        "  ax = axes[3][j]\n",
        "  ax.plot(sigma_chains[:, j], alpha=.3, c=colors[3])\n",
        "  ax.hlines(noise_scale, 0, 1000, zorder=4, color=colors[3], label=r\"$\\sigma$\".format(i))\n",
        "  ax.legend(loc='upper right')\n",
        "fig.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "# Histogram of samples of w\n",
        "fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
        "for j in range(num_chains):\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    sns.distplot(w_chains[:, j, i], color=colors[i], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    ymax = ax.get_ylim()[1]\n",
        "    ax.vlines(true_w[i], 0, ymax, color=colors[i], label=\"$w_{}$\".format(i), linewidth=3)\n",
        "    ax.set_ylim(0, ymax)\n",
        "    ax.legend(loc='upper right')\n",
        "\n",
        "\n",
        "  ax = axes[3][j]\n",
        "  sns.distplot(sigma_chains[:, j], color=colors[3], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
        "  ymax = ax.get_ylim()[1]\n",
        "  ax.vlines(noise_scale, 0, ymax, color=colors[3], label=r\"$\\sigma$\".format(i), linewidth=3)\n",
        "  ax.set_ylim(0, ymax)\n",
        "  ax.legend(loc='upper right')\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "AvPb53zUkVlh"
      },
      "source": [
        "## There's a lot more!\n",
        "\n",
        "Check out these cool blog posts and examples:\n",
        "\n",
        "* Structural Time Series support [blog](https://medium.com/tensorflow/structural-time-series-modeling-in-tensorflow-probability-344edac24083) [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Structural_Time_Series_Modeling_Case_Studies_Atmospheric_CO2_and_Electricity_Demand.ipynb)\n",
        "* Probabilistic Keras Layers (input: Tensor, output: Distribution!) [blog](https://medium.com/tensorflow/regression-with-probabilistic-layers-in-tensorflow-probability-e46ff5d37baf) [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Probabilistic_Layers_Regression.ipynb)\n",
        "  * Another Layers example: VAEs [blog](https://medium.com/tensorflow/variational-autoencoders-with-tensorflow-probability-layers-d06c658931b7) [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Probabilistic_Layers_VAE.ipynb)\n",
        "* Gaussian Process Regression [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Gaussian_Process_Regression_In_TFP.ipynb) and Latent Variable Modeling [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Gaussian_Process_Latent_Variable_Model.ipynb)\n",
        "\n",
        "More examples and notebooks on our GitHub [here](https://github.com/tensorflow/probability/tree/master/tensorflow_probability/examples)!"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [],
      "name": "A Tour of TensorFlow Probability",
      "provenance": [],
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
